150 SOAL DAN PEMBAHASAN MATEMATIKA SMA :INTEGRAL TAK TENTU

Penulis:Natasya, Zacky, Icha, Romi

Matematika merupakan salah satu mata pelajaran yang selalu menemani kita dari SD sampai SMA. Nah bagi teman-teman mata pelajaran ini mungkin terlihat menakutkan, kenapa? Karena rumus-rumusnya yang njelimet dan susah dimengerti. Namun tenang saja, karena di sini admin akan memberikan kumpulan soal sebagai latihan untuk teman-teman. Loh kenapa kumpulan soal? Karena seperti kata pepatah, "ala bisa karena biasa". Semakin sering kita mengerjakan soal tentang suatu bab, maka akan semakin bisa kita memahami bab tersebut.

Kali ini saya akan memberikan kumpulan soal tentang Integral Tentu. Silakan dicoba teman-teman.

KUMPULAN SOAL-SOAL INTEGRAL TENTU

1. $\int(12x^{2}\,-\,4x\,+\,1)\,dx\,=...$

A. $6x^{3}\,-\,4x^{2}+x+C$

B. $6x^{3}\,-\,4x^{2}+C$

C. $4x^{3}+2x^{2}+x+C$

D. $4x^{3}-2x^{2}+x+C$

E. $4x^{3}+2x^{2}+x+C$

2. $\int\left(4x^{2}-6\right)\left(5x^{2}+3\right)dx=$

A. $4x^{5}-6x^{3}-18x+c$

B. $4x^{5}-6x^{3}+18x+c$

C. $4x^{5}+6x^{3}-18x+c$

D. $2x^{5}-6x^{3}-18x+c$

E. $2x^{5}+6x^{3}+18x+c$

3. $\int\left(4x^{3}-6x^{2}+8x-7\right)dx=...$

A. $12x^{2}-12x+8+C$

B. $12x^{3}-12x^{2}+8x+C$

C. $x^{4}-2x^{3}+4x^{2}-7x+C$

D. $x^{4}-12x^{3}+4x^{2}-7x+C$

E. $x^{4}-12x^{3}+4x^{2}-7+C$

4. $\int\left(4x+3\right)\left(4x^{2}+6x-9\right)^{9}dx=...$

A. $\frac{1}{10}\left(4x^{2}+6x-9\right)^{10}+C$

B. $\frac{1}{15}\left(2x-3\right)^{20}+C$

C. $\frac{1}{20}\left(2x-3\right)^{20}+C$

D. $\frac{1}{20}\left(4x^{2}+6x-9\right)^{10}+C$

E. $\frac{1}{30}\left(4x^{2}+6x-9\right)^{10}+C$

5. $\int\left(3x^{2}+2x+4\right)dx=...$

A. $x^{3}+2x^{2}+4x+c$

B. $x^{3}+x^{2}+4x+c$

C. $x^{3}+x^{2}-4x+c$

D. $x^{3}-x^{2}+4x+c$

E. $x^{3}-2x^{2}+4x+c$

6. $\int x^{2}\left(5x^{2}+12x-6\right)dx=...$

A. $20x^{3}+24x^{2}-12x+c$

B. $10x^{3}+8x^{3}-x^{2}+c$

C. $x^{5}+4x^{4}-2x^{3}+c$

D. $x^{5}+3x^{4}-2x^{3}+c$

E. $x^{5}+3x^{4}-3x^{3}+c$

7. $\int\left(x^{2}+x\right)dx=...$

A. $2x+1+c$

B. $x^{3}+x^{2}+c$

C. $x^{3}-x^{2}+c$

D. $\frac{1}{3}x^{3}+\frac{1}{2}x^{2}+c$

E. $\frac{1}{2}x^{3}+\frac{1}{3}x^{2}+c$

8. $\int\left(10x^{4}-6x^{2}-6x\right)dx=...$

A. $40x^{3}-12x-4+C$

B. $5x^{5}-2x^{3}-3x^{2}+C$

C. $5x^{5}-3x^{3}-2x^{2}+C$

D. $2x^{5}-2x^{3}-3x^{2}+C$

E. $2x^{5}-3x^{3}-2x^{2}+C$

9. $\int\left(3x^{2}-4x+7\right)dx=...$

A. $3x^{3}-4x^{2}+7x+c$

B. $3x^{3}-2x^{2}+7x+c$

C. $x^{3}-2x^{2}+7x+c$

D. $x^{3}-4x^{2}-7x+c$

E. $-x^{3}+2x^{2}+7x+c$

10. $\int\frac{3}{x^{4}}dx=...$

A. $4x^{-2}+c$

B. $-4x^{-2}+c$

C. $\frac{2}{3}x+c$

D. $\frac{1}{x^{3}}+c$

E. $-\frac{1}{x^{3}}+c$

11. $\int\left(x^{2}+7\right)dx=...$

A. $\frac{1}{3}x^{3}+7x+c$

B. $\frac{1}{2}x^{3}+7x+c$

1. $\int(12x^{2}\,-\,4x\,+\,1)\,dx\,=...$

A. $6x^{3}\,-\,4x^{2}+x+C$

B. $6x^{3}\,-\,4x^{2}+C$

C. $4x^{3}+2x^{2}+x+C$

D. $4x^{3}-2x^{2}+x+C$

E. $4x^{3}+2x^{2}+x+C$

2. $\int\left(4x^{2}-6\right)\left(5x^{2}+3\right)dx=$

A. $4x^{5}-6x^{3}-18x+c$

B. $4x^{5}-6x^{3}+18x+c$

C. $4x^{5}+6x^{3}-18x+c$

D. $2x^{5}-6x^{3}-18x+c$

E. $2x^{5}+6x^{3}+18x+c$

3. $\int\left(4x^{3}-6x^{2}+8x-7\right)dx=...$

A. $12x^{2}-12x+8+C$

B. $12x^{3}-12x^{2}+8x+C$

C. $x^{4}-2x^{3}+4x^{2}-7x+C$

D. $x^{4}-12x^{3}+4x^{2}-7x+C$

E. $x^{4}-12x^{3}+4x^{2}-7+C$

4. $\int\left(4x+3\right)\left(4x^{2}+6x-9\right)^{9}dx=...$

A. $\frac{1}{10}\left(4x^{2}+6x-9\right)^{10}+C$

B. $\frac{1}{15}\left(2x-3\right)^{20}+C$

C. $\frac{1}{20}\left(2x-3\right)^{20}+C$

D. $\frac{1}{20}\left(4x^{2}+6x-9\right)^{10}+C$

E. $\frac{1}{30}\left(4x^{2}+6x-9\right)^{10}+C$

5. $\int\left(3x^{2}+2x+4\right)dx=...$

A. $x^{3}+2x^{2}+4x+c$

B. $x^{3}+x^{2}+4x+c$

C. $x^{3}+x^{2}-4x+c$

D. $x^{3}-x^{2}+4x+c$

E. $x^{3}-2x^{2}+4x+c$

6. $\int x^{2}\left(5x^{2}+12x-6\right)dx=...$

A. $20x^{3}+24x^{2}-12x+c$

B. $10x^{3}+8x^{3}-x^{2}+c$

C. $x^{5}+4x^{4}-2x^{3}+c$

D. $x^{5}+3x^{4}-2x^{3}+c$

E. $x^{5}+3x^{4}-3x^{3}+c$

7. $\int\left(x^{2}+x\right)dx=...$

A. $2x+1+c$

B. $x^{3}+x^{2}+c$

C. $x^{3}-x^{2}+c$

D. $\frac{1}{3}x^{3}+\frac{1}{2}x^{2}+c$

E. $\frac{1}{2}x^{3}+\frac{1}{3}x^{2}+c$

8. $\int\left(10x^{4}-6x^{2}-6x\right)dx=...$

A. $40x^{3}-12x-4+C$

B. $5x^{5}-2x^{3}-3x^{2}+C$

C. $5x^{5}-3x^{3}-2x^{2}+C$

D. $2x^{5}-2x^{3}-3x^{2}+C$

E. $2x^{5}-3x^{3}-2x^{2}+C$

9. $\int\left(3x^{2}-4x+7\right)dx=...$

A. $3x^{3}-4x^{2}+7x+c$

B. $3x^{3}-2x^{2}+7x+c$

C. $x^{3}-2x^{2}+7x+c$

D. $x^{3}-4x^{2}-7x+c$

E. $-x^{3}+2x^{2}+7x+c$

10. $\int\frac{3}{x^{4}}dx=...$

A. $4x^{-2}+c$

B. $-4x^{-2}+c$

C. $\frac{2}{3}x+c$

D. $\frac{1}{x^{3}}+c$

E. $-\frac{1}{x^{3}}+c$

11. $\int\left(x^{2}+7\right)dx=...$

A. $\frac{1}{3}x^{3}+7x+c$

B. $\frac{1}{2}x^{3}+7x+c$

C. $x^{3}+7x+c$

D. $2x+c$

E. $3x+c$

12. $\int x^{\frac{1}{3}}dx=...$

A. $\frac{3}{2}x^{\frac{2}{3}}+c$

B. $\frac{1}{3}x^{\frac{2}{3}}+c$

C. $\frac{3}{4}x^{\frac{4}{3}}+c$

D. $\frac{4}{3}x^{\frac{4}{3}}+c$

E. $\frac{1}{2}x^{\frac{1}{2}}+c$

13. $\int\frac{2}{x^{2}}dx=...$

A. $-\frac{2}{x}+c$

B. $\frac{2}{x}+c$

C. $\frac{4}{x^{2}}+c$

D. $-\frac{4}{x^{2}}+c$

E. $\frac{6}{x^{3}}+c$

14. $\int\left(x^{2}+3x+2\right)dx=...$

A. $\frac{1}{3}x^{3}+3x^{2}+2x+c$

B. $\frac{1}{3}x^{3}+\frac{3}{2}x^{2}+2x+c$

C. $x^{3}+3x^{2}+2x+c$

D. $x^{3}-3x^{2}+2x+c$

E. $2x^{3}+3x^{2}+2x+c$

15. $\int\left(2x^{3}+4\right)dx=...$

A. $\frac{1}{2}x^{4}+3x+c$

B. $\frac{1}{2}x^{3}+4x+c$

C. $\frac{1}{2}x^{4}+4x+c$

D. $\frac{1}{2}x^{3}-4x+c$

E. $\frac{1}{2}x^{4}-4x+c$

16. $\int\left(2x^{\frac{1}{2}}\right)dx=...$

A. $x^{\frac{1}{2}}+c$

B. $x^{\frac{1}{3}}+c$

C. $x^{\frac{2}{3}}+c$

D. $\frac{4}{3}x^{\frac{3}{2}}+c$

E. $\frac{4}{3}x^{\frac{3}{3}}+c$

17. $\int\left(\frac{5}{x^{4}}+6\right)dx=...$

A. $\frac{2}{3}x^{3}+6x+c$

B. $\frac{2}{3}x^{3}-6x+c$

C. $\frac{5}{3}x^{3}-6x+c$

D. $-\frac{5}{3}x^{-3}+6x+c$

E. $\frac{1}{2}x^{-3}+6x+c$

18. $\int\left(3x+1\right)^{2}dx=...$

A. $2x^{3}+3x^{2}+x+c$

B. $-2x^{3}+3x^{2}+x+c$

C. $3x^{3}+3x^{2}+x+c$

D. $-3x^{3}+3x^{2}+x+c$

E. $-3x^{-3}+2x^{2}+x+c$

19. $\int\frac{1}{2x\sqrt{x}}dx=...$

A. $\frac{1}{\sqrt{x}}+c$

B. $\frac{2}{\sqrt{x}}+c$

C. $-\frac{1}{\sqrt{x}}+c$

D. $-\frac{2}{\sqrt{x}}+c$

E. $-\frac{1}{2\sqrt{x}}+c$

20. $\int\frac{x-1}{\sqrt{x}-1}dx=...$

A. $\frac{2}{3}x\sqrt{x}+x+c$

B. $\frac{2}{3}x\sqrt{x}-x+c$

C. $\frac{2}{3}x\sqrt{x}-x^{2}+c$

D. $\frac{2}{3}x\sqrt{x}+x^{2}+c$

E. $\frac{2}{3}x\sqrt{x}+c$

21. $\int\left(2x^{3}+3\right)dx=...$

A. $\frac{2}{3}x^{3}+3x+c$

B. $-\frac{2}{3}x^{3}+3x+c$

C. $\frac{2}{3}x^{-3}+2x+c$

D. $\frac{2}{3}x^{-3}-2x+c$

22. $\int\frac{x\left(x-1\right)^{2}}{\sqrt{x}}dx=...$

A. $\frac{2}{7}x^{\frac{7}{2}}-\frac{4}{5}x^{\frac{5}{2}}-\frac{2}{3}x^{\frac{3}{2}}+c$

B. $\frac{7}{2}x^{\frac{7}{2}}+\frac{5}{2}x^{\frac{5}{2}}+\frac{3}{2}x^{\frac{3}{2}}+c$

C. $\frac{7}{2}x^{\frac{7}{2}}-\frac{5}{2}x^{\frac{5}{2}}+\frac{3}{2}x^{\frac{3}{2}}+c$

D. $\frac{2}{7}x^{\frac{7}{2}}+\frac{4}{5}x^{\frac{5}{2}}+\frac{2}{3}x^{\frac{3}{2}}+c$

E. $\frac{2}{7}x^{\frac{7}{2}}-\frac{4}{5}x^{\frac{5}{2}}+\frac{2}{3}x^{\frac{3}{2}}+c$

23. $\int\left(5-2x\right)^{2}dx=...$

A. $-\frac{1}{2}\left(5-2x\right)^{3}+c$

B. $\frac{1}{4}\left(5-2x\right)^{3}+c$

C. $\frac{1}{2}\left(5-2x\right)^{3}+c$

D. $-\frac{1}{6}\left(5-2x\right)^{3}+c$

E. $\frac{1}{3}\left(5-2x\right)^{3}+c$

24. $\int 2x\left(2x-5\right)^{3}dx=...$

A. $-\frac{1}{20}\left(8x+5\right)\left(2x-5\right)^{4}+c$

B. $-\frac{1}{40}\left(8x+5\right)\left(2x-5\right)^{4}+c$

C. $\frac{1}{40}\left(8x+5\right)\left(2x-5\right)^{4}+c$

D. $\frac{1}{40}\left(5x+8\right)\left(2x-5\right)^{4}+c$

E. $\frac{1}{20}\left(5x+8\right)\left(2x-5\right)^{4}+c$

25. $\int\left(3x-9\right)(\sqrt{x^{2}-6x})dx=...$

A. $\frac{1}{2}\sqrt{\left(x^{2}-6x\right)^{3}}+c$

B. $\frac{3}{2}\sqrt{\left(x^{2}-6x\right)^{3}}+c$

C. $\sqrt{\left(x^{2}-6x\right)^{3}}+c$

D. $\sqrt[3]{\left(x^{2}-6x\right)^{2}}+c$

E. $3\sqrt[3]{\left(x^{2}-6x\right)^{2}}+c$

26. $\int\left(5x^{2}+1\right)(\sqrt{5x^{3}+3x-2})dx=...$

A. $\sqrt{\left(5x^{3}+3x-2\right)^{3}}+c$

B. $\frac{2}{9}\sqrt{\left(5x^{3}+3x-2\right)^{3}}+c$

C. $\frac{1}{2}\sqrt{\left(5x^{3}+3x-2\right)^{3}}+c$

D. $\frac{2}{9}\sqrt[3]{\left(5x^{3}+3x-2\right)^{2}}+c$

E. $\frac{1}{2}\sqrt[3]{\left(5x^{3}+3x-2\right)^{2}}+c$

27. $\int\left(5x^{2}+1\right)\left(5x^{3}+3x-8\right)^{6}dx=..$

A. $\frac{1}{21}\left(5x^{3}+3x-8\right)^{7}+c$

B. $\frac{1}{3}\left(5x^{3}+3x-8\right)^{7}+c$

C. $\frac{3}{7}\left(5x^{3}+3x-8\right)^{7}+c$

D. $\frac{1}{7}\left(5x^{3}+3x-8\right)^{7}+c$

E. $\frac{5}{7}\left(5x^{3}+3x-8\right)^{7}+c$

28. $\int\left(2x-1\right)\left(x^{2}-x+6\right)^{3}dx=...$

A. $\frac{1}{3}\left(x^{2}-x+6\right)^{3}+c$

B. $\frac{1}{4}\left(x^{2}-x+6\right)^{3}+c$

C. $\frac{1}{4}\left(x^{2}-x+6\right)^{4}+c$

D. $\frac{1}{2}\left(x^{2}-x+6\right)^{4}+c$

E. $\left(x^{2}-x+6\right)^{4}+c$

29. $\int\frac{3x}{\sqrt{2x^{2}+5}}dx=...$

A. $\frac{1}{4}\sqrt{2x^{2}+5}+c$

B. $\frac{1}{2}\sqrt{2x^{2}+5}+c$

C. $\frac{3}{4}\sqrt{2x^{2}+5}+c$

D. $\frac{3}{2}\sqrt{2x^{2}+5}+c$

E. $\sqrt{2x^{2}+5}+c$

30. $\int\frac{x+2}{\sqrt{x^{2}+4x+5}}dx=...$

A. $\sqrt{x^{2}+4x+5}+c$

B. $2\sqrt{x^{2}+4x+5}+c$

C. $3\sqrt{x^{2}+4x+5}+c$

D. $4\sqrt{x^{2}+4x+5}+c$

E. $6\sqrt{x^{2}+4x+5}+c$

31. $\int\frac{3x}{\sqrt{x+2}}dx=...$

A. $2\left(x-1\right)\sqrt{x+2}+c$

B. $2\left(x-2\right)\sqrt{x+2}+c$

C. $2\left(x-3\right)\sqrt{x+2}+c$

D. $3\left(x-1\right)\sqrt{x+2}+c$

E. $3\left(x-2\right)\sqrt{x+2}+c$

32. $\int\frac{x+1}{\left(x+2\right)^{4}}dx=...$

A. $\frac{\left(3x+4\right)}{6\left(x+2\right)^{3}}$

B. $\frac{\left(3x+4\right)}{3\left(x+2\right)^{3}}$

C. $-\frac{\left(3x+4\right)}{6\left(x+2\right)^{3}}$

D. $-\frac{\left(3x+4\right)}{3\left(x+2\right)^{3}}$

E. $-\frac{\left(3x+4\right)}{2\left(x+2\right)^{3}}$

33. $\int\frac{3x^{2}+4x}{\sqrt[5]{\left(6x^{3}+12x^{3}-5\right)^{3}}}$

A. $\frac{5}{12}\sqrt[5]{\left(6x^{3}+12x^{2}-5\right)^{2}}+c$

B. $\frac{5}{12}\sqrt[5]{\left(6x^{3}+12x^{2}-5\right)^{3}}+c$

C. $\frac{5}{12}\sqrt[5]{\left(6x^{3}+12x^{2}-5\right)}+c$

D. $\frac{5}{12}\sqrt[5]{\left(6x^{3}+12x^{2}-5\right)^{2}}+c$

E. $\frac{5}{12}\sqrt[5]{\left(6x^{3}+12x^{2}+5\right)^{2}}+c$

34. $\int\left(4x+5\right)^{20}dx=...$

A. $\frac{4}{21}\left(4x+5\right)^{21}+c$

B. $\frac{1}{84}\left(4x+5\right)^{20}+c$

C. $\frac{1}{84}\left(4x-5\right)^{21}+c$

D. $\frac{4}{21}\left(4x-5\right)^{21}+c$

E. $\frac{1}{84}\left(4x+5\right)^{21}+c$

35. $\int\frac{x-2}{\sqrt{x+2}}dx=...$

A. $\left(x-10\right)\sqrt{x+2}+c$

B. $-\left(x+10\right)\sqrt{x+2}+c$

C. $\left(x+10\right)\sqrt{x+2}+c$

D. $\frac{2}{3}\left(x+10\right)\sqrt{x+2}+c$

E. $\frac{2}{3}\left(x-10\right)\sqrt{x+2}+c$

36. $\int\frac{\left(-16x-6x^{4}\right)}{x^{2}}\,dx$

A. $\frac{16}{x}\,+\,2x^{3}\,+\,C$

B. $\frac{16}{x}\,-\,2x^{3}\,+\,C$

C. $-\frac{16}{x}\,-x^{3}\,+\,C$

D. $-\frac{8}{x}\,+2x^{3}\,+\,C$

E. $\frac{8}{x}\,-2x^{3}\,+\,C$

37. $\int\frac{3\left(1-x\right)}{1+\sqrt{x}}\,dx$

A. $3x\,-\,2x\sqrt{x}\,+\:C$

B. $2x\,-\,3x\sqrt{x}\,+\:C$

C. $3x\sqrt{x}\,-\,2x\,+\:C$

D. $2x\sqrt{x}\,-\,3x\,+\,C$

E. $3x\,+\,2x\sqrt{x}\,+\,C$

38. $\int\frac{x^{2}-\sqrt{x}}{x}\,dx$

A. $x^{2}\,+\,2\sqrt{x}\,+C$

B. $\frac{1}{2}\,x^{2}\,+\,2\sqrt{x}\,+C$

C. $\frac{1}{2}\,x^{2}\,-\,2\sqrt{x}\,+C$

D. $\frac{1}{2}\,x^{2}\,+\,x\sqrt{x}\,+C$

E. $\frac{1}{2}\,x^{2}\,-\,x\sqrt{x}\,+C$

39. $\int\frac{3\left(1-x\right)}{1+\sqrt{x}}\,dx$

A. $3x\,-2x\sqrt{x}+C$

B. $2x\,-3x\sqrt{x}+C$

C. $3x\sqrt{x}\,-2x+C$

D. $2x\sqrt{x}\,-3x+C$

E. $3x\,+2x\sqrt{x}+C$

40. $\int\left(\frac{-16x-6x^{4}}{x^{2}}\right)\,dx$

A. $\frac{16}{x}\,+\,2x^{3}\,+\,C$

B. $\frac{16}{x}\,-\,2x^{3}\,+\,C$

C. $-\frac{16}{x}\,-\,x^{3}\,+\,C$

D. $-\frac{8}{x}\,+\,2x^{3}\,+\,C$

E. $\frac{8}{x}\,-\,2x^{3}\,+\,C$

41. $\int\left(\frac{x^{4}-1}{x^{3}+x}\right)^{2}\,dx$

A. $\frac{1}{3}x^{3}\,+\,\frac{1}{x}\,-\,2x\,+\,C$

B. $\frac{1}{3}x^{3}\,-\,\frac{1}{x}\,-\,2x\,+\,C$

C. $\frac{1}{3}x^{3}\,+\,\frac{1}{x}\,+\,2x\,+\,C$

D. $\frac{1}{3}x^{3}\,-\,\frac{1}{x}\,+\,x\,+\,C$

E. $\frac{1}{3}x^{3}\,-\,\frac{1}{x}\,-\,x\,+\,C$

42. $\int 4x\left(x^{2}-1\right)^{5}\,dx\,adalah$

A. $-\frac{1}{3}\,\left(x^{2}-1\right)^{6}\,+\,C$

B. $-\frac{1}{6}\,\left(x^{2}-1\right)^{6}\,+\,C$

C. $\frac{1}{6}\,\left(x^{2}-1\right)^{6}\,+\,C$

D. $\frac{1}{3}\,\left(x^{2}-1\right)^{6}\,+\,C$

E. $\frac{4}{3}\,\left(x^{2}-1\right)^{6}\,+\,C$

43. $\int x^{5}\left(2-x^{3}\right)^{\frac{1}{2}}\,dx\,=$

A. $\frac{2}{45}\left(3x^{3}+4\right)\,\left(-x^{3}+2\right)^{\frac{3}{2}}\,+\,C$

B. $-\frac{2}{5}\left(3x^{3}+4\right)\,\left(-x^{3}+2\right)^{\frac{3}{2}}\,+\,C$

C. $\frac{2}{5}\left(3x^{3}+4\right)\,\left(-x^{3}+2\right)^{\frac{3}{2}}\,+\,C$

D. $-\frac{2}{25}\left(3x^{3}+4\right)\,\left(-x^{3}+2\right)^{\frac{3}{2}}\,+\,C$

E. $-\frac{2}{45}\left(3x^{3}+4\right)\,\left(-x^{3}+2\right)^{\frac{3}{2}}\,+\,C$

44. $\int 5x^{4}\,dx\,=$

A. $x^{5}\,+C$

B. $x^{4}\,+C$

C. $x^{3}\,+C$

D. $x^{2}\,+C$

E. $2x^{5}\,+C$

45. $\int\frac{1}{x^{3}}\,dx\,=$

A. $-\frac{1}{2x^{2}}\,+\,C$

B. $-\frac{2}{2x^{2}}\,+\,C$

C. $-\frac{3}{2x^{2}}\,+\,C$

D. $-\frac{4}{2x^{2}}\,+\,C$

E. $\frac{1}{2x^{2}}\,+\,C$

46. $\int\,\frac{1}{2x\sqrt{x}}\,dx$

A. $\frac{1}{\sqrt{x}}\,+\,C$

B. $-\frac{1}{\sqrt{x}}\,+\,C$

C. $-\frac{2}{\sqrt{x}}\,+\,C$

D. $-\frac{3}{\sqrt{x}}\,+\,C$

E. $\frac{3}{\sqrt{x}}\,+\,C$

47. $\int\left(4\,cos^{2}\,x\,-\,2\,\right)\,dx$

A. $sin\,2x\,+\,C$

B. $sin\,3x\,+\,C$

C. $sin\,4x\,+\,C$

D. $sin\,5x\,+\,C$

E. $sin\,x\,+\,C$

48. $\int\,\frac{2}{x^{4}}\,dx$

A. $\frac{2}{3x^{3}}\,+\,C$

B. $-\frac{2}{3x^{3}}\,+\,C$

C. $\frac{3}{3x^{3}}\,+\,C$

D. $\frac{4}{3x^{3}}\,+\,C$

E. $-\frac{4}{3x^{3}}\,+\,C$

49. $\int\,\left(3x^{2}\,+\,4x\right)\,dx$

A. $2x^{3}\,+\,2x^{2}\,+\:C$

B. $x^{3}\,+\,2x^{2}\,+\:C$

C. $3x^{3}\,+\,2x^{2}\,+\:C$

D. $5x^{3}\,+\,2x^{2}\,+\:C$

E. $4x^{3}\,+\,2x^{2}\,+\:C$

50. $\int\,\left(\frac{sin\,x\,+\,cos\,x}{sec\,x\,+\,csc\,x}\right)\,dx$

A. $\int sin\,x\,cos\,x\,dx$

B. $\int sin\,x\,cos\,2x\,dx$

C. $\int 2sin\,x\,cos\,2x\,dx$

D. $\int\frac{sin\,x}{cos\,x}\,dx$

E. $\int\frac{cos\,x}{sin\,x}\,dx$

51. $\int 4\,dx\,=$

A. $4x\,+\,C$

B. $5x\,+\,C$

C. $6x\,+\,C$

D. $3x\,+\,C$

E. $2x\,+\,C$

52. $\int\,6x\,^{2}\,dx\,=$

A. $3x^{3}\,+\,C$

B. $4x^{3}\,+\,C$

C. $5x^{3}\,+\,C$

D. $6x^{3}\,+\,C$

E. $2x^{3}\,+\,C$

53. $\int\,x^{2}\,dx$

A. $\frac{x^{2}}{3}\,+\,C$

B. $\frac{2x^{3}}{3}\,+\,C$

C. $\frac{3x^{3}}{3}\,+\,C$

D. $\frac{x^{3}}{3}\,+\,C$

E. $\frac{x^{2}}{3}\,+\,C$

54. $\int\frac{dx}{x^{10}}\,=$

A. $-\,\frac{1}{9}\,x^{-9}\,+\,C$

B. $\,\frac{1}{9}\,x^{-9}\,+\,C$

C. $-\,\frac{1}{11}\,x^{-11}\,+\,C$

D. $\,\frac{1}{11}\,x^{-11}\,+\,C$

E. $-\,\frac{1}{11}\,x^{11}\,+\,C$

55. $\int\left(10x^{4}\,-\,6x^{2}\,-\,4x\,\right)\,dx\,adalah\,=$

A. $40x^{3}\,-\,12x\,-\,4\,+\,C$

B. $5x^{5}\,-\,3x^{3}\,-\,2x^{2}\,+\,C$

C. $2x^{5}\,-\,2x^{3}\,-\,2x^{2}\,+\,C$

D. $2x^{5}\,+\,3x^{3}\,-\,2x^{2}\,+\,C$

E. $2x^{5}\,-\,3x^{3}\,-\,4x^{2}\,+\,C$

56. $\int\,\left(3x^{2}\,-\,4x\,+\,5\right)\,dx\,=$

A. $3x^{3\,}\,-\,4x^{2}\,+\,5x\,+\,C$

B. $3x^{3\,}\,-\,2x^{2}\,+\,5x\,+\,C$

C. $x^{3\,}\,-\,2x^{2}\,+\,5x\,+\,C$

D. $x^{3\,}\,-\,4x^{2}\,+\,5x\,+\,C$

E. $-\,x^{3\,}\,+\,2x^{2}\,+\,5x\,+\,C$

57. $\int\,\left(2x\,-\,3\right)^{3}\,dx\,=$

A. $\frac{1}{2}\,\left(2x\,-\,3\right)^{4}\,+\,C$

B. $\frac{1}{4}\,\left(2x\,-\,3\right)^{4}\,+\,C$

C. $\frac{1}{6}\,\left(2x\,-\,3\right)^{4}\,+\,C$

D. $\frac{1}{8}\,\left(2x\,-\,3\right)^{4}\,+\,C$

E. $\frac{1}{10}\,\left(2x\,-\,3\right)^{4}\,+\,C$

58. $\int\,2x\,\left(x^{2}\,-\,9\,\right)^{5}\,dx\,=$

A. $\frac{1}{5}\,\left(x^{2}\,-\:9\,\right)^{5}\,+\,C$

B. $\frac{1}{6}\,\left(x^{2}\,-\:9\,\right)^{5}\,+\,C$

C. $\frac{1}{6}\,\left(x^{2}\,-\:9\,\right)^{6}\,+\,C$

D. $\frac{1}{6}\,\left(x^{2}\,-\:9\,\right)^{4}\,+\,C$

E. $\frac{1}{5}\,\left(x^{2}\,-\:9\,\right)^{6}\,+\,C$

59. $\int\,\left(8x^{3}\,-\,3x^{2}\,-\,4x\,+\,7\right)\,dx\,=$

A. $2x^{4}\,-\,x^{3}\,-\,2x^{2}\,+\,7x\,+\,C$

B. $4x^{4}\,-\,x^{3}\,-\,2x^{2}\,+\,7x\,+\,C$

C. $2x^{4}\,+\,x^{3}\,-\,2x^{2}\,+\,7x\,+\,C$

D. $2x^{4}\,-\,x^{3}\,-\,2x^{2}\,\,+\,C$

E. $2x^{4}\,+\,x^{3}\,-\,2x^{2}\,\,+\,C$

60. $\int 5\,dx\,=$

A. $5x\,+\,C$

B. $6x\,+\,C$

C. $7x\,+\,C$

D. $4x\,+\,C$

E. $3x\,+\,C$

61. $\int\,\left(15x^{4}\,-\,6x^{2}\,+\,4x\,-\,3\right)\,dx\,=$

A. $20x^{5}\,-\,12x^{3}\,+\,4x^{2}\,-\,3x\,+\,C$

B. $20x^{5}\,-\,12x^{3}\,+\,4x^{2}\,+\,C$

C. $5x^{5}\,-\,6x^{3}\,+\,4x^{2}\,\,-\,3x\,+\,C$

D. $x^{5}\,-\,2x^{3}\,+\,2x^{2}\,\,+\,3x\,+\,C$

E. $3x^{5}\,-\,2x^{3}\,+\,2x^{2}\,\,-\,3x\,+\,C$

62. $\int\,6^{2}\,dx\,=$

A. $3x^{3}\,+\,C$

B. $2x^{3}\,+\,C$

C. $4x^{3}\,+\,C$

D. $5x^{3}\,+\,C$

E. $2x^{4}\,+\,C$

63. $\int\,2x^{2}\,-\,5x\,+\,6\,dx\,=$

A. $\frac{2}{3}\,x^{3}\,-\,\frac{5}{2}x^{2}\,+\,6x\,+\,C$

B. $\frac{2}{3}\,x^{3}\,-\,5x^{2}\,+\,6x\,+\,C$

C. $x^{3}\,-\,5x\,+\,6x\,+\,C$

D. $x^{2}\,-\,\frac{5}{2}\,x^{2}\,+\,6x\,+\,C$

E. $x^{2}\,+\,\frac{5}{2}\,x^{2}\,+\,6x\,+\,C$

64. $\int\left(x\,+\,3\right)^{6}\,dx\,=$

A. $\frac{1}{7}\,\left(x\,+\,3\right)^{7}\,+\,C$

B. $\frac{1}{6}\,\left(x\,+\,3\right)^{7}\,+\,C$

C. $\frac{2}{7}\,\left(x\,+\,3\right)^{7}\,+\,C$

D. $\frac{1}{7}\,\left(x\,+\,3\right)^{7}\,+\,C$

E. $\frac{2}{7}\,\left(x^{6}\,+\,6x^{5}\,-\,3x^{2}\,+\,36\right)^{7}\,+\,C$

65. $\int\,2x\,\left(x^{2}\,-\,7\right)^{4}\,dx\,=$

A. $\frac{2x}{5}\,\left(x^{2}\,-\,7\right)^{5}\,+\,C$

B. $\frac{1}{5}\,\left(x^{2}\,-\,7\right)^{5}\,+\,C$

C. $\frac{2}{5}\,\left(x^{2}\,-\,7\right)^{5}\,+\,C$

D. $\frac{3x}{5}\,\left(x^{2}\,-\,7\right)^{5}\,+\,C$

E. $\frac{x}{5}\,\left(x^{2}\,-\,7\right)^{5}\,+\,C$

66. $\int\,10x^{4}\,dx\,=$

A. $2x^{5}\,+\,C$

B. $3x^{5}\,+\,C$

C. $x^{5}\,+\,C$

D. $4x^{5}\,+\,C$

E. $5x^{5}\,+\,C$

67. $\int\,17\,dx\,=$

A. $12x\,+\,C$

B. $14x\,+\,C$

C. $16x\,+\,C$

D. $15x\,+\,C$

E. $17x\,+\,C$

68. $\int\,x\,cos\,x\,dx\,=$

A. $x\,cos\,x\,+\,sin\,x\,+\,C$

B. $x\,sin\,x\,+\,cos\,x\,+\,C$

C. $x\,cos\,x\,-\,sin\,x\,+\,C$

D. $x\,sin\,x\,-\,cos\,x\,+\,C$

E. $x\,cos\,x\,-\,cos\,x\,+\,C$

69. $\int\,x\,.\,e^{x}\,dx\,=$

A. $x\,.\,e^{x}\,+\,e^{x}\,+\,C$

B. $x\,.\,e^{x}\,-\,e^{x}\,+\,C$

C. $-\,x\,.\,e^{x}\,-\,e^{x}\,+\,C$

D. $x\,.\,e^x\,+\,C$

E. $e^{x}\,-\,x\,.\,e^{x}\,+\,C$

70. $\int\,\left(t\,-\,3\right)\,cos\,\left(t\,-\,3\right)\,dt\,=\,\left(at\,-\,b\right)\,sin\,\left(t\,-\,3\right)\,c\,cos\,\left(t\,-\,3\right)\,+\,C\,untuk\,suatu\,bilangan\,real\,a,b,c\,nilai\,dari\,a\,+\,b\,+\,c\,=$

A. $-5$

B. $-3$

C. $1$

D. $3$

E. $5$

71. $\int\left(2x-1\right)\left(x^{2}-x+3\right)^{3}dx$

A. $\frac{1}{3}\left(x^{2}-x+3\right)^{3}+C$

B. $\frac{1}{4}\left(x^{2}-x+3\right)^{3}+C$

C. $\frac{1}{4}\left(x^{2}-x+3\right)^{4}+C$

D. $\frac{1}{2}\left(x^{2}-x+3\right)^{4}+C$

E. $\left(x^{2}-x+3\right)^{4}+C$

72. $\int\left(2x-\frac{1}{2x}\right)^{2}dx$

A. $\frac{2}{3}x^{3}-\frac{1}{2x}-2x+C$

B. $\frac{2}{3}x^{3}+\frac{1}{2x}-2x+C$

C. $\frac{4}{3}x^{3}-\frac{1}{2x}+2x+C$

D. $\frac{4}{3}x^{3}-\frac{1}{4x}-2x+C$

E. $\frac{4}{3}x^{3}+\frac{1}{4x}-2x+C$

73. $\int\left(3x^{2}-5x+4\right)dx$

A. $x^{3}-\frac{5}{2}x^{2}+4x+C$

B. $x^{3}-5x^{2}+4x+C$

C. $3x^{3}-5x^{2}+4x+C$

D. $6x^{3}-5x^{2}+4x+C$

E. $6x^{3}-\frac{5}{2}x^{2}+4x+C$

74. $\int\left(3x^{2}-2x+1\right)dx$

A. $x^{3}-x^{2}+\frac{x^{2}}{2}+C$

B. $x^{3}-x^{2}+\frac{x}{2}+C$

C. $x^{3}-x^{2}+\frac{x^{2}}{2}+C$

D. $x^{3}-x^{2}+\frac{2x^{2}}{2}+C$

E. $x^{3}-\frac{2x^{2}}{2}+x+C$

75. $\int\left(5 sin x\right)dx$

A. $5 cos x+C$

B. $5 sin x+C$

C. $5 sin x^{2}+C$

D. $-5 sin x^{2}+C$

E. $-5^{2}sin x^{2}+C$

76. $\int\left(4x^{3}-3x^{2}+2x-5\right)dx$

A. $x^{4}-x^{3}+x^{2}-5x+C$

B. $x^{4}-x^{3}+x^{2}-5x-5+C$

C. $x^{4}-x^{3}+x^{2}-5x^{2}+C$

D. $x^{4}-x^{3}+x^{2}-5+C$

E. $x^{4}-x^{3}+x^{2}+C$

77. $\int\frac{1}{x^{3}}dx$

A. $-\frac{1}{2x^{2}}+C$

B. $\frac{x^{2}}{2}+C$

C. $\frac{x^{2}}{2x}+C$

D. $\frac{x^{2}}{2x^{2}}+C$

E. $\frac{x^{3}}{2x^{2}}+C$

78. $\int\left(2x^{5}+3x^{2}+7\right)dx$

A. $\frac{1}{3}x^{6}+x^{3}+6x+C$

B. $\frac{1}{3}x^{6}+x^{3}+7x+C$

C. $\frac{1}{3}x^{6}+x^{3}+5x+C$

D. $\frac{1}{3}x^{4}+x^{3}+7x+C$

E. $\frac{1}{3}x^{4}+x^{2}+7x+C$

79. $\int x^{3}\left(sin\left(x\right)\right)dx$

A. $x^{3}cos(x)+3x^{2}sin(x)-6x cos(x)+6 sin(x)+C$

B. $-x^{3}cos(x)+3x^{2}sin(x)-6x cos(x)+6 sin(x)+C$

C. $-x^{3}cos(x)+3x^{2}sin(x)-6x cos(x)+C$

D. $x^{3}cos(x)+3x^{2}sin(x)-6x cos(x)+C$

E. $x^{3}cos(x)+3x^{2}sin(x)+C$

80. $\int\left(8x^{3}-x^{2}+4\right)dx$

A. $2x^{4}-\frac{1}{3}x^{3}+4x+C$

B. $-2x^{4}-\frac{1}{3}x^{3}+4x+C$

C. $2x^{4}-\frac{-1}{3}x^{3}+4x+C$

D. $2x^{4}-\frac{1}{3}x^{3}-4x+C$

E. $2x^{4}+\frac{1}{3}x^{3}-4x+C$

81. $\int\left(3x^{3}+4x^{2}\right)dx$

A. $\frac{3}{4}x^{4}+\frac{4}{3}x^{3}+C$

B. $\frac{3}{4}x^{4}+\frac{4}{3}x^{2}+C$

C. $\frac{3}{4}x^{4}+\frac{4}{3}x+C$

D. $\frac{3}{4}x^{4}+\;4x^{2}+C$

E. $x^{4}+x^{3}+C$

82. $\int\left(7x^{2}+2x+1\right)dx$

A. $\frac{7}{3}x^{3}+x^{2}+x+C$

B. $\frac{7}{3}x^{3}+x^{2}+1+C$

C. $7x^{3}+x^{2}+x+C$

D. $\frac{7}{3}x^{3}+\frac{2}{2}x^{2}+x+C$

E. $\frac{7}{3}x^{3}+\frac{1}{2}x^{2}+x+C$

83. $\int\frac{1}{3}x^{2}+6x+8dx$

A. $\frac{2}{3}x^{3}+6+C$

B. $\frac{1}{6}x^{3}+3x^{2}+8x+C$

C. $\frac{1}{6}x^{3}+6x^{2}+8x+C$

D. $\frac{1}{9}x^{3}+3x^{2}+8x+C$

E. $\frac{1}{9}x^{3}+6x^{2}+8x+C$

84. $\int\left(x-2\right)\left(2x+1\right)dx$

A. $\frac{2}{3}x^{3}+\frac{3}{2}x^{2}-2x+C$

B. $\frac{2}{3}x^{3}-\frac{3}{2}x^{2}-2x+C$

C. $\frac{2}{3}x^{3}-\frac{3}{2}x^{2}+2x+C$

D. $\frac{2}{3}x^{3}+\frac{3}{2}x^{2}+2x+C$

E. $\frac{2}{3}x^{3}-\frac{3}{2}x^{2}-2+C$

85. $\int 2x-1^{-3}dx$

A. $\frac{1}{4\left(2x-1\right)^{2}}+C$

B. $\frac{1}{4\left(2x+1\right)^{2}}+C$

C. $\frac{1}{-4\left(2x-1\right)^{2}}+C$

D. $\frac{2}{4\left(2x+1\right)^{2}}+C$

E. $\frac{2}{4\left(2x+1\right)}+C$

86. $\int 9x^{2}dx$

A. $3x^{2}+C$

B. $3x+C$

C. $3x^{4}+C$

D. $3x^{3}+C$

E. $2x^{3}+C$

87. $\int\frac{1}{x^{3}}dx$

A. $\frac{1}{-2x^{2}}+C$

B. $\frac{1}{-x^{2}}+C$

C. $\frac{1}{-3x^{2}}+C$

D. $\frac{1}{2x^{2}}+C$

E. $\frac{1}{-2x^{2}}+C$

88. $\int\frac{4x^{5}-3x^{3}+x^{2}}{x^{2}}dx$

A. $x^{4}+\frac{3}{2}x^{2}+x+C$

B. $x^{4}-\frac{3}{2}x^{2}+x+C$

C. $x^{3}-\frac{3}{2}x^{2}+x+C$

D. $x^{3}-\frac{2}{3}x^{2}+x+C$

E. $x^{3}-\frac{2}{3}x^{2}-x+C$

89. $\int x^{-4}\left(x+5\right)^{2}dx$

A. $-\frac{1}{x}-\frac{5}{x^{2}}-\frac{25}{x^{3}}+C$

B. $-\frac{1}{x}+\frac{5}{x^{2}}-\frac{25}{x^{3}}+C$

C. $-\frac{1}{x}+\frac{5}{x^{2}}+\frac{25}{x^{3}}+C$

D. $\frac{1}{x}-\frac{5}{x^{2}}+\frac{25}{x^{3}}+C$

E. $\frac{1}{x}+\frac{5}{x^{2}}+\frac{25}{x^{3}}+C$

90. $\int\frac{2\left(x-6\right)^{2}}{x^{5}}dx$

A. $\frac{1}{x^{2}}+\frac{1}{x^{3}}+\frac{18}{x^{4}}+C$

B. $\frac{1}{x^{2}}-\frac{8}{x^{3}}+\frac{18}{x^{4}}+C$

C. $-\frac{1}{x^{2}}+\frac{8}{x^{3}}-\frac{18}{x^{4}}+C$

D. $-\frac{1}{x^{2}}-\frac{8}{x^{3}}+\frac{18}{x^{4}}+C$

E. $-\frac{1}{x^{2}}-\frac{8}{x^{3}}-\frac{18}{x^{4}}+C$

91. $\int\frac{3}{x^{8}}dx$

A. $\frac{3}{-7x^{7}}+C$

B. $\frac{3}{7x^{7}}+C$

C. $\frac{-3}{7x^{7}}+C$

D. $\frac{3}{7x^{6}}+C$

E. $\frac{3}{7x+C$

92. $\int x^{3}\left(x^{2}-\frac{1}{x}\right)dx$

A. $\frac{1}{6}x^{6}+\frac{1}{3}x^{3}+C$

B. $\frac{1}{6}x^{6}-\frac{1}{3}x^{3}+C$

C. $\frac{-1}{6}x^{6}+\frac{1}{3}x^{3}+C$

D. $\frac{-1}{6}x^{6}-\frac{1}{3}x^{3}+C$

E. $\frac{1}{-6}x^{6}-\frac{1}{3}x^{3}+C$

93. $\int 2x^{2}\sqrt{x}dx$

A. $\frac{4}{7}x^{3}\sqrt{x}+C$

B. $\frac{4}{7}x^{3}\sqrt{3}+C$

C. $\frac{-4}{7}x^{3}\sqrt{3}+C$

D. $\frac{4}{-7}x^{3}\sqrt{3}+C$

E. $\frac{4}{-7}x^{3}\sqrt{x}+C$

94. $\int\left(5x^{4}+3x^{2}\right)dx$

A. $x^{5}-x^{3}+C$

B. $-x^{5}-x^{3}+C$

C. $-x^{5}-x^{-3}+C$

D. $x^{5}+x^{3}+C$

E. $x^{-5}+x^{-3}+C$

95. $\int 7x^{6}dx$

A. $x^{7}+C$

B. $x^{-7}+C$

C. $-x^{-7}+C$

D. $-x^{7}+C$

E. $x^{6}+C$

96. $\int\frac{1}{\sqrt[8]{x^{2}}}dx$

A. $-\frac{4}{3}x^{\frac{3}{4}}+C$

B. $\frac{4}{3}x^{-\frac{3}{4}}+C$

C. $\frac{4}{3}x^{\frac{3}{4}}+C$

D. $\frac{-4}{3}x^{-\frac{3}{4}}+C$

E. $\frac{-4}{-3}x^{-\frac{3}{4}}+C$

97. $\int\left(x\sqrt{x}+2x\right)dx$

A. $\frac{2}{5}x^{\frac{5}{2}}+x^{2}+C$

B. $-\frac{2}{5}x^{\frac{5}{2}}+x^{2}+C$

C. $-\frac{2}{5}x^{-\frac{5}{2}}+x^{2}+C$

D. $-\frac{2}{5}x^{-\frac{5}{2}}+-x^{2}+C$

E. $-\frac{2}{5}x^{-\frac{5}{2}}+-x^{2}+C$

98. $\int\sqrt[4]{x^{3}}dx$

A. $\frac{4}{7}x^{\frac{7}{4}}+C$

B. $-\frac{4}{7}x^{\frac{7}{4}}+C$

C. $\frac{4}{7}x^{\frac{4}{7}}+C$

D. $\frac{7}{4}x^{\frac{4}{7}}+C$

E. $\frac{7}{4}x^{\frac{7}{7}}+C$

99. $\int\frac{1}{x^{3}}dx$

A. $\frac{1}{2x^{2}}+C$

B. $-\frac{1}{2x^{2}}+C$

C. $\frac{1}{-2x^{2}}+C$

D. $\frac{-1}{-2x^{2}}+C$

E. $\frac{1}{2x}+C$

100. $\int\left(2x+5\right)dx$

A. $-x^{2}+5x+C$

B. $x^{2}+5x+C$

C. $x^{2}+5+C$

D. $2x^{2}+5+C$

E. $2x^{2}+5x+C$

101. $\int\frac{x+2-\sqrt{x}}{\sqrt{x}}dx$

A. $-\frac{2}{3}x^{\frac{3}{2}}+4x^{\frac{1}{2}}-x^{1}+C$

B. $\frac{2}{3}x^{-\frac{3}{2}}+4x^{\frac{1}{2}}-x^{1}+C$

C. $\frac{2}{3}x^{\frac{3}{2}}-4x^{\frac{1}{2}}-x^{1}+C$

D. $\frac{2}{3}x^{\frac{3}{2}}-4x^{\frac{1}{2}}+x^{1}+C$

E. $\frac{2}{3}x^{\frac{3}{2}}+4x^{\frac{1}{2}}-x^{1}+C$

102. $\int\left(\frac{x^{3}+2x}{x}\right)dx$

A. $-\frac{1}{3}x^{3}+2x+C$

B. $\frac{1}{2}x^{3}+2x+C$

C. $\frac{1}{3}x^{3}+2x+C$

D. $\frac{1}{3}x^{2}+2x+C$

E. $\frac{1}{3}x^{3}+2x^{2}+x+C$

103. $\int\left(\sqrt{x}-\frac{1}{\sqrt{x}}\right)dx$

A. $\frac{2}{3}x^{\frac{3}{2}}+2x^{\frac{1}{2}}+C$

B. $\frac{2}{3}x^{\frac{3}{2}}-2x^{\frac{1}{2}}+C$

C. $-\frac{2}{3}x^{\frac{3}{2}}-2x^{\frac{1}{2}}+C$

D. $-\frac{2}{3}x^{\frac{3}{2}}+2x^{\frac{1}{2}}+C$

E. $-\frac{2}{3}x^{\frac{3}{2}}-2x^{\frac{3}{2}}+C$

104. $\int\left(7x^{2}\sqrt{x}+5\sqrt{x^{3}}+1\right)$

A. $2x^{3}\sqrt{x}+2\sqrt{x^{5}}+x+C$

B. $2x^{3}\sqrt{x}+2\sqrt{x^{4}}+x+C$

C. $3x^{3}\sqrt{x}+3\sqrt{x^{5}}+x+C$

D. $3x^{3}\sqrt{x}+3\sqrt{x^{4}}+x+C$

E. $2x^{4}\sqrt{x}+2\sqrt{x^{4}}+x+C$

105. $\int 2x^{6}+3 dx$

A. $-\frac{2x^{7}}{7}+3x+C$

B. $-\frac{2x^{7}}{7}-3x+C$

C. $\frac{2x^{7}}{7}+3x+C$

D. $\frac{2x^{7}}{7}-3x+C$

E. $\frac{2x^{-7}}{7}+3x+C$

106 . $\int sec^{2}4x\,dx$

A. $cos^{2}4x\,+\,C$

B. $cosec^{2}4x\,+\,C$

C. $tan^{2}4x\,+\,C$

D. $tan4x\,+\,C$

E. $sin4x\,+\,C$

107. $\int x\,dx$

B. $\frac{1}{2}x^{2}\,+\,C$

C. $\frac{1}{2}x^{3}\,+\,C$

D. $\frac{1}{2}x^{3}\,+\,C$

E. $\frac{2}{3}x^{3}\,+\,C$

108. $\int(x+2)\,dx$

A. $\frac{1}{2}\,x^{2}\,+\,2x\,+\,C$

B. $\frac{1}{2}\,x^{2}\,+\,2x\,+\,C$

C. $\frac{1}{3}\,x^{3}\,+\,2x\,+\,C$

D. $\frac{1}{3}\,x^{3}\,+\,3x\,+\,C$

E. $\frac{8}{3}\,x^{3}\,+\,3x\,+\,C$

109. $\int 2x^{3}\,+\,3x^{2}\,+\,4x\,+5\,dx$

A. $\frac{1}{2}\,x^{4}\,+\,C$

B. $\frac{1}{2}\,x^{4}\,+\,C$

C. $\frac{1}{2}\,x^{4}\,+\,x^{3}\,+\,2x^{2}\,+\,5x\,+\,C$

D. $\frac{1}{2}\,x^{4}\,+\,x^{3}\,3x\,+\,C$

E. $\frac{1}{2}\,x^{4}\,+\,x^{3}\,+\,2x^{2}\,+\,5x\,+\,C$

110. $\int x^{10}\,dx$

A. $\frac{1}{3}\,x^{11}\,+\,C$

B. $\frac{1}{6}\,x^{11}\,+\,C$

C. $\frac{1}{7}\,x^{11}\,+\,C$

D. $\frac{1}{9}\,x^{11}\,+\,C$

E. $\frac{1}{11}\,x^{11}\,+\,C$

111. $\int 100x^{100}\,dx$

A. $\frac{100}{101}x^{101}\,+\,C$

B. $\frac{100}{102}x^{101}\,+\,C$

C. $\frac{100}{103}x^{101}\,+\,C$

D. $\frac{10}{101}x^{101}\,+\,C$

E. $\frac{1}{101}x^{101}\,+\,C$

112. $\int sin2x\,dx$

A. $sin2x\,+\,C$

B. $cos2x\,+\,C$ />

D. $-tan2x\,+\,C$

E. $-cos2x\,+\,C$

113. $\int cos3x$

A. $sinx\,+\,C$

B. $sin2x\,+\,C$

C. $-sin3x\,+\,C$

D. $sin3x\,+\,C$

E. $tan3x\,+\,C$

114. $\int sin3x\,+cos4x\,dx$

A. $sin3x\,+cos4x\,+\,C$

B. $cos3x\,+\,-sin4x\,+\,C$

C. $-cos3x\,+\,-sin4x\,+\,C$

D. $cos3x\,+\,sin4x\,+\,C$

E. $cos4x\,+\,sin3x\,+\,C$

115. $\int\frac{3}{4}x\,+\,20$

A. $\frac{3}{8}x^{2}\,+\,20x\,+\,C$

B. $\frac{3}{10}x^{2}\,+\,20x\,+\,C$

C. $\frac{1}{10}x^{2}\,+\,20x\,+\,C$

D. $\frac{7}{10}x^{2}\,+\,20x\,+\,C$

E. $\frac{11}{10}x^{3}\,+\,20x\,+\,C$

116. $\int(x^{3}\,+\,1)\,dx$

A. $x^{4}\,+\,C$

B. $\frac{1}{2}x^{4}\,+\,C$

C. $\frac{1}{4}x^{4}\,+\,C$

D. $\frac{1}{4}x^{4}\,+\,x\,+\,C$

E. $\frac{3}{4}x^{4}\,+\,x\,+\,C$

117. $\int-cosec^{2}5x\,dx$

A. $sin^{2}5x\,+\,C$

B. $cos^{2}5x\,+\,C$

C. $tan^{2}5x\,+\,C$

D. $sec^{2}5x\,+\,C$

E. $cot5x\,+\,C$

118. $\int(x^{2})^{3}\,dx$

A. $x^{7}\,+\,C$

B. $\frac{1}{7}x^{7}\,+\,C$

C. $\frac{2}{7}x^{7}\,+\,C$

D. $\frac{3}{7}x^{7}\,+\,C$

E. $\frac{4}{7}x^{7}\,+\,C$

119. $\int\sqrt{x^{2}}\,dx$

A. $\frac{1}{2}x^{2}\,+\,C$

B. $\frac{3}{2}x^{2}\,+\,C$

C. $\frac{5}{2}x^{2}\,+\,C$

D. $\frac{7}{2}x^{2}\,+\,C$

E. $\frac{9}{2}x^{2}\,+\,C$

120. $\int sinx\,+\,x\,dx$

A. $sin2x\,+\,\frac{1}{3}x^{2}\,+\,C$

B. $cosx\,+\,\frac{1}{2}x^{2}\,+\,C$

C. $tanx\,+\,\frac{1}{4}x^{2}\,+\,C$

D. $-sinx\,+\,\frac{1}{2}x^{2}\,+\,C$

E. $sinx\,-\,\frac{1}{2}x^{2}\,+\,C$

121. $\int 9x\,-\,11\,dx$

A. $\frac{9}{2}x^{2}\,-\,11x\,-\,C$

B. $\frac{11}{2}x^{2}\,-\,11x\,-\,C$

C. $\frac{11}{2}x^{2}\,+\,11x\,-\,C$

D. $\frac{9}{2}x^{2}\,+\,9x\,-\,C$

E. $\frac{9}{2}x^{2}\,-\,11x\,+\,C$

122. $\int(\frac{x^{2}}{x^{3}})^{\frac{1}{2}}\,dx$

A. $3x^{\frac{3}{4}}\,+\,C$

B. $2x^{\frac{3}{4}}\,+\,C$

C. $2x^{\frac{3}{4}}\,+\,C$

D. $3x^{\frac{3}{2}}\,+\,C$

E. $2x^{\frac{3}{5}}\,+\,C$

123. $\int 9999\,dx$

A. $9x\,+\,C$

B. $99x\,+\,C$

C. $999x\,+\,C$

D. $99999x\,+\,C$

E. $9999x\,+\,C$

124. $\int(2*2)^{2}x\,dx$

A. $4x^{2}\,+\,C$

B. $4x^{2}\,+\,C$

C. $8x^{2}\,+\,C$

D. $16x^{2}\,+\,C$

E. $32x^{2}\,+\,C$

125. $\int sinx\,+\,sin2x\,+\,sin3x\,dx$

A. $sinx\,+\,sin2x\,+\,sin3x\,+\,C$

B. $sinx\,+\,cos2x\,+\,sin3x\,+\,C$

C. $cosx\,+\,cos2x\,+\,sin3x\,+\,C$

D. $cosx\,+\,cos2x\,+\,cos3x\,+\,C$

E. $tanx\,+\,cos2x\,+\,cos3x\,+\,C$

126. $\int cosx\,+\,cos2x\,+\,cos3x\,dx$

A. $cosx\,+\,cos2x\,+\,cos3x\,+\,C$

B. $-cosx\,+\,cos2x\,+\,cos3x\,+\,C$

C. $-sinx\,+\,sin2x\,+\,sin3x\,+\,C$

D. $-sinx\,-\,sin2x\,-\,sin3x\,+\,C$

E. $tanx\,-\,tan2x\,-\,tan3x\,+\,C$

127. $\int sec^{2}x\,+\,sec^{2}2x\,+\,sec^{2}4x\,dx$

A. $sin^{2}x\,+\,sin^{2}2x\,+\,sin^{2}4x\,+\,C$

B. $cos^{2}x\,+\,cos^{2}2x\,+\,cos^{2}4x\,+\,C$

C. $-cos^{2}x\,+\,cos^{2}2x\,+\,cos^{2}4x\,+\,C$

D. $tan^{2}x\,+\,tan^{2}2x\,+\,tan^{2}4x\,+\,C$

E. $tanx\,+\,tan2x\,+\,tan4x\,+\,C$

128. $\int cosec^{2}2x\,+\,cosec^{2}4x\,+\,cosec^{2}6x\,dx$

A. $cosec^{2}2x\,+\,cosec^{2}4x\,+\,cosec^{2}6x\,+\,C$

B. $cosec\,2x\,+\,cosec\,4x\,+\,cosec\,6x\,+\,C$

C. $sec^{2}2x\,+\,sec^{2}4x\,+\,sec^{2}6x\,+\,C$

D. $sec\,2x\,+\,sec\,4x\,+\,sec\,6x\,+\,C$

E. $cot\,2x\,+\,cot\,4x\,+\,cot\,6x\,+\,C$

129. $\int sin\,x\,+\,cos\,x\,+\,sec^{2}x\,dx$

A. $sin\,x\,+\,cos\,x\,+\,tan\,x\,+\,C$

B. $-sin\,x\,+\,cos\,x\,+\,tan\,x\,+\,C$

C. $cos\,x\,+\,sin\,x\,+\,tan\,x\,+\,C$

D. $cos\,x\,-\,sin\,x\,+\,tan\,x\,+\,C$

E. $-cos\,x\,-\,sin\,x\,+\,tan\,x\,+\,C$

130. $\int\frac{sin\,x\,+\,sin\,2x}{sin\,3x}\,dx$

A. $\frac{sin\,2x\,+\,sin\,3x}{sin\,4x}\,+\,C$

B. $\frac{sin\,x\,+\,sin\,2x}{sin\,3x}\,+\,C$

C. $\frac{cos\,x\,+\,cos\,2x}{cos\,3x}\,+\,C$

D. $\frac{cos\,x\,-\,cos\,2x}{cos\,3x}\,+\,C$

E. $\frac{cos\,x\,-\,cos\,2x}{-cos\,3x}\,+\,C$

131. $\int\frac{cos\,2x\,-\,cos\,3x}{cos\,4x}\,dx$

A. $\frac{sin\,2x\,+\,sin\,3x}{sin\,4x}\,+\,C$

B. $\frac{sin\,3x\,-\,sin\,2x}{-sin\,4x}\,+\,C$

C. $\frac{cos\,3x\,-\,cos\,2x}{-cos\,4x}\,+\,C$

D. $\frac{tan\,3x\,-\,tan\,2x}{-tan\,4x}\,+\,C$

E. $\frac{cot\,3x\,-\,cot\,2x}{-cot\,4x}\,+\,C$

132. $\int\frac{sec^{2}2x\,-\,sec^{2}x}{sec^{2}6x}\,dx$

A. $\frac{sin\,2x\,-\,sin\,x}{sin\,6x}\,+\,C$

B. $\frac{cos\,2x\,-\,cos\,x}{cos\,6x}\,+\,C$

C. $\frac{tan\,2x\,-\,tan\,x}{tan\,6x}\,+\,C$

D. $\frac{cosec\,2x\,-\,cosec\,x}{cosec\,6x}\,+\,C$

E. $\frac{cot\,2x\,-\,cot\,x}{cot\,6x}\,+\,C$

133. $\int\frac{cosec^{2}9x\,+\,cosec^{2}99x}{cosec^{2}999x}\,dx$

A. $\frac{cot\,9x\,+\,cot\,99x}{cot\,999x}\,+\,C$

B. $\frac{sin\,9x\,+\,sin\,99x}{sin\,999x}\,+\,C$

C. $\frac{sin\,9x\,-\,sin\,99x}{sin\,999x}\,+\,C$

D. $\frac{cos\,9x\,-\,cos\,99x}{cos\,999x}\,+\,C$

E. $\frac{tan\,9x\,-\,tan\,99x}{tan\,999x}\,+\,C$

134. $\int\frac{cos\,2x}{cos^{2}x\,-\,sin^{2}x}\,dx$

A. $x\,+\,C$

B. $2x\,+\,C$

C. $3x\,+\,C$

D. $4x\,+\,C$

E. $5x\,+\,C$

135. $\int x^{3}\,dx$

A. $\frac{1}{2}\,+\,C$

B. $\frac{1}{2}x^{2}\,+\,C$

C. $\frac{1}{2}x^{3}\,+\,C$

D. $\frac{1}{3}x^{3}\,+\,C$

E. $\frac{2}{3}x^{3}\,+\,C$

136. $\int(x^{2}+3)\,dx$

A. $\frac{1}{2}\,x^{2}\,+\,2x\,+\,C$

B. $\frac{1}{2}\,x^{3}\,+\,2x\,+\,C$

C. $\frac{1}{3}\,x^{3}\,+\,2x\,+\,C$

D. $\frac{1}{3}\,x^{3}\,+\,3x\,+\,C$

E. $\frac{8}{3}\,x^{3}\,+\,3x\,+\,C$

137. $\int 6\tfrac{1}{3}\,dx$

A. $2x\,+\,C$

B. $3x\,+\,C$

C. $4x\,+\,C$

D. $5x\,+\,C$

E. $6x\,+\,C$

138. $\int 6\tfrac{1}{2}\,dx$

A. $2x\,+\,C$

B. $3x\,+\,C$

C. $4x\,+\,C$

D. $5x\,+\,C$

E. $6x\,+\,C$

139. $\int 4\tfrac{1}{2}\,dx$

A. $2x\,+\,C$

B. $3x\,+\,C$

C. $4x\,+\,C$

D. $5x\,+\,C$

E. $6x\,+\,C$

140. $\int\frac{1}{3}x^{2}\,dx$

A. $\frac{1}{6}x^{3}\,+\,C$

B. $\frac{1}{9}x^{3}\,+\,C$

C. $\frac{1}{12}x^{3}\,+\,C$

D. $\frac{1}{7}x^{3}\,+\,C$

E. $\frac{1}{8}x^{3}\,+\,C$

141. $\int\frac{1}{3}x^{3}\,dx$

A. $\frac{1}{6}x^{3}\,+\,C$

B. $\frac{1}{9}x^{3}\,+\,C$

C. $\frac{1}{12}x^{3}\,+\,C$

D. $\frac{1}{7}x^{3}\,+\,C$

E. $\frac{1}{8}x^{3}\,+\,C$

142. $\int\frac{1}{2}x^{3}\,dx$

A. $\frac{1}{6}x^{3}\,+\,C$

B. $\frac{1}{9}x^{3}\,+\,C$

C. $\frac{1}{12}x^{3}\,+\,C$

D. $\frac{1}{7}x^{3}\,+\,C$

E. $\frac{1}{8}x^{3}\,+\,C$

143. $\int\frac{1}{3}x\,dx$

A. $\frac{1}{6}x^{3}\,+\,C$

B. $\frac{1}{9}x^{3}\,+\,C$

C. $\frac{1}{12}x^{3}\,+\,C$

D. $\frac{1}{7}x^{3}\,+\,C$

E. $\frac{1}{8}x^{3}\,+\,C$

144. $\int -sin2x\,dx$

A. $sin2x\,+\,C$

B. $cos2x\,+\,C$

C. $tan2x\,+\,C$

D. $-tan2x\,+\,C$

E. $-cos2x\,+\,C$

145. $\int -sec2x\,dx$

A. $sin2x\,+\,C$

B. $cos2x\,+\,C$

C. $tan2x\,+\,C$

D. $-tan2x\,+\,C$

E. $-cos2x\,+\,C$

146. $\int -cos3x$

A. $sinx\,+\,C$

B. $sin2x\,+\,C$

C. $-sin3x\,+\,C$

D. $sin3x\,+\,C$

E. $tan3x\,+\,C$

147. $\int -sin3x\,+cos4x\,dx$

A. $sin3x\,+cos4x\,+\,C$

B. $cos3x\,+\,-sin4x\,+\,C$

C. $-cos3x\,+\,-sin4x\,+\,C$

D. $cos3x\,+\,sin4x\,+\,C$

E. $cos4x\,+\,sin3x\,+\,C$

148. $\int(x^{3})^{3}\,dx$

A. $x^{9}\,+\,C$

B. $\frac{1}{10}x^{9}\,+\,C$

C. $\frac{2}{9}x^{9}\,+\,C$

D. $\frac{3}{7}x^{9}\,+\,C$

E. $\frac{5}{7}x^{7}\,+\,C$

149. $\int\sqrt{9x^{2}}\,dx$

A. $\frac{1}{2}x^{2}\,+\,C$

B. $\frac{3}{2}x^{2}\,+\,C$

C. $\frac{5}{2}x^{2}\,+\,C$

D. $\frac{7}{2}x^{2}\,+\,C$

E. $\frac{9}{2}x^{2}\,+\,C$

150. $\int\left(\frac{x}{2x}\right)^{0}\,dx$

A. $0\,+\,C$

B. $\frac{1}{2}x\,+\,C$

C. $x\,+\,C$

D. $2x\,+\,C$

E. $4x\,+\,C$

Nah demikianlah kumpulan soal tentang integral tentu ini, jangan patah semangat walaupun soalnya banyak, karena ini semua bisa dikerjakan dengan mempelajari bab ini secara sungguh-sungguh! Semoga dengan ini teman-teman bisa lebih lancar dalam mengerjakan soal mengenai bab ini.

150 SOAL DAN PEMBAHASAN MATEMATIKA SMA :INTEGRAL TAK TENTU

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150 SOAL DAN PEMBAHASAN MATEMATIKA SMA :INTEGRAL TAK TENTU

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BIMBEL ONLINE MASUK SMA UNGGUL 2025 (SMA DEL, YASOP, MATAULI, TARNUS, THAMRIN, PRADITA, LAB SCHOL

BIMBEL ONLINE FOKUS LULUS UTBK SNBT 2025

BIMBEL ONLINE FOKUS LULUS SIMAMA POLTEKKES 2024

AYO BERLANGGANAN DI RUANG PARA BINTANG

Fanpage Ruang Para Bintang

Anda Pengunjung ke-

ARTIKEL TERBAIK

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KATEGORI PILIHAN

INFORMASI UTBK SBMPTN/SIMAMA POLTEKKES/UM-PTKIN/SBMPN POLITEKNIK

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