Integration Bronze

Integration Bronze

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Question 1 of 25

1. Question
\(\int 3{x}^{2}dx\)
- \({x}^{3}+c\)
- \(6{x}^{2}\)
- \(\frac{1}{2}{x}^{3}+c\)
- \(\frac{2}{3}{x}^{4}+c\)
Correct

Incorrect
Question 2 of 25

2. Question
\(\int 11xdx\)
- \(\frac{11}{2}{x}^{2}+c\)
- \(11\)
- \(\frac{11}{2}x+c\)
- \(11{x}^{2}+c\)
Correct

Incorrect
Question 3 of 25

3. Question
\(\int 5{x}^{7}dx\)
- \(\frac{5}{8}{x}^{8}+c\)
- \(\frac{5}{8}{x}^{7}\)
- \(\frac{5}{8}{x}^{9}+c\)
- \(\frac{7}{9}{x}^{8}+c\)
Correct

Incorrect
Question 4 of 25

4. Question
\(\int 12{x}^{2}dx\)
- \(4{x}^{3}+c\)
- \(4{x}^{3}\)
- \(24\)
- \(4{x}^{2}+c\)
Correct

Incorrect
Question 5 of 25

5. Question
\(\int 5{x}^{4}dx\)
- \({x}^{5}+c\)
- \(5{x}^{5}+c\)
- \({x}^{4}\)
- \(20{x}^{3}\)
Correct

Incorrect
Question 6 of 25

6. Question
\(\int 4{x}^{\frac{1}{3}}dx\)
- \(3{x}^{\frac{4}{3}}+c\)
- \(\frac{12}{3}{x}^{\frac{1}{3}}+c\)
- \(16{x}^{\frac{-1}{3}}\)
- \(4{x}^{\frac{3}{3}}+c\)
Correct

Incorrect
Question 7 of 25

7. Question
\(\int 5{x}^{\frac{1}{3}}dx\)
- \(\frac{15}{4}{x}^{\frac{4}{3}}+c\)
- \(\frac{5}{3}{x}^{\frac{-2}{3}}\)
- \(5{x}^{\frac{4}{3}}+c\)
- \(\frac{15}{4}{x}^{\frac{1}{3}}+c\)
Correct

Incorrect
Question 8 of 25

8. Question
\(\int 3{x}^{\frac{3}{4}}dx\)
- \(\frac{12}{7}{x}^{\frac{7}{4}}+c\)
- \(7{x}^{\frac{7}{4}}+c\)
- \(4{x}^{\frac{3}{4}}+c\)
- \(\frac{9}{4}{x}^{\frac{-1}{4}}\)
Correct

Incorrect
Question 9 of 25

9. Question
\(\int 7{x}^{\frac{2}{3}}dx\)
- \(\frac{21}{5}{x}^{\frac{5}{3}}+c\)
- \(\frac{21}{5}{x}^{\frac{2}{3}}+c\)
- \(7{x}^{\frac{5}{3}}+c\)
- \(11{x}^{\frac{5}{3}}+c\)
Correct

Incorrect
Question 10 of 25

10. Question
\(\int 3{x}^{\frac{3}{5}}dx\)
- \(\frac{15}{8}{x}^{\frac{8}{5}}+c\)
- \(\frac{5}{4}{x}^{\frac{8}{5}}\)
- \(\frac{10}{3}{x}^{\frac{8}{5}}+c\)
- \(\frac{6}{5}{x}^{\frac{-2}{5}}\)
Correct

Incorrect
Question 11 of 25

11. Question
\(\int \sqrt[3]{{x}^{4}}dx\)
- \(\frac{3}{7}{x}^{\frac{7}{3}}+c\)
- \(\frac{4}{3}{x}^{\frac{1}{3}}\)
- \({x}^{\frac{5}{3}}+c\)
- \(\frac{3}{2}{x}^{\frac{5}{3}}+c\)
Correct

Incorrect
Question 12 of 25

12. Question
\(\int \sqrt[4]{{x}^{5}}dx\)
- \(\frac{4}{9}{x}^{\frac{9}{4}}+c\)
- \(\frac{5}{9}{x}^{\frac{9}{5}}\)
- \(\frac{5}{4}{x}^{\frac{9}{5}}+c\)
- \({x}^{\frac{9}{5}}+c\)
Correct

Incorrect
Question 13 of 25

13. Question
\(\int \sqrt[5]{{x}^{6}}dx\)
- \(\frac{5}{11}{x}^{\frac{11}{5}}+c\)
- \(\frac{5}{6}{x}^{\frac{-1}{6}}\)
- \(\frac{6}{11}{x}^{\frac{11}{6}}\)
- \(\frac{6}{11}{x}^{\frac{5}{6}}+c\)
Correct

Incorrect
Question 14 of 25

14. Question
\(\int \sqrt[2]{{x}^{5}}dx\)
- \(\frac{2}{7}{x}^{\frac{7}{2}}+c\)
- \(\frac{5}{7}{x}^{\frac{7}{5}}\)
- \(\frac{5}{2}{x}^{\frac{7}{5}}+c\)
- \(\frac{2}{5}{x}^{\frac{-3}{5}}\)
Correct

Incorrect
Question 15 of 25

15. Question
\(\int \sqrt[4]{{x}^{3}}dx\)
- \(\frac{4}{7}{x}^{\frac{7}{4}}+c\)
- \({x}^{\frac{7}{4}}+c\)
- \(\frac{4}{7}{x}^{\frac{3}{4}}+c\)
- \(\frac{4}{3}{x}^{\frac{7}{4}}+c\)
Correct

Incorrect
Question 16 of 25

16. Question
\(\int \frac{8}{{x}^{4}}dx\)
- \(-\frac{8}{3}{x}^{-3}+c\)
- \(2{x}^{-3}+c\)
- \(-\frac{8}{3}{x}^{-4}+c\)
- \(-\frac{8}{3}{x}^{-3}\)
Correct

Incorrect
Question 17 of 25

17. Question
\(\int \frac{9}{{x}^{4}}dx\)
- \(-3{x}^{-3}+c\)
- \(\frac{9}{4}{x}^{-3}+c\)
- \(9{x}^{-3}+c\)
- \(36{x}^{-5}\)
Correct

Incorrect
Question 18 of 25

18. Question
\(\int \frac{7}{{x}^{8}}dx\)
- \(-{x}^{-7}+c\)
- \(56{x}^{-9}\)
- \(\frac{7}{8}{x}^{-7}+c\)
- \(-{x}^{-8}+c\)
Correct

Incorrect
Question 19 of 25

19. Question
\(\int \frac{4}{{x}^{4}}dx\)
- \(-\frac{4}{3}{x}^{-3}+c\)
- \({x}^{-3}+c\)
- \(16{x}^{-5}\)
- \(-\frac{4}{3}{x}^{-4}+c\)
Correct

Incorrect
Question 20 of 25

20. Question
\(\int \frac{2}{{x}^{3}}dx\)
- \(-{x}^{-2}+c\)
- \(-{x}^{-3}+c\)
- \(6{x}^{-4}\)
- \(-{x}^{-2}\)
Correct

Incorrect
Question 21 of 25

21. Question
\(\int \frac{6}{\sqrt{x}}dx\)
- \(12{x}^{\frac{1}{2}}+c\)
- \(12{x}^{\frac{1}{2}}\)
- \(6{x}^{\frac{1}{2}}+c\)
- \(12{x}^{\frac{-1}{2}}+c\)
Correct

Incorrect
Question 22 of 25

22. Question
\(\int \frac{2}{\sqrt{{x}^{6}}}dx\)
- \(-{x}^{-2}+c\)
- \(-{x}^{-3}+c\)
- \(-6{x}^{-4}\)
- \(-{x}^{-2}\)
Correct

Incorrect
Question 23 of 25

23. Question
\(\int \frac{8}{\sqrt{{x}^{6}}}dx\)
- \(-4{x}^{-2}+c\)
- \(-4{x}^{-3}+c\)
- \(8{x}^{-2}+c\)
- \(-24{x}^{-4}\)
Correct

Incorrect
Question 24 of 25

24. Question
\(\int \frac{7}{\sqrt{{x}^{7}}}dx\)
- \(-\frac{14}{5}{x}^{\frac{-5}{2}}+c\)
- \(-\frac{49}{2}{x}^{\frac{-9}{2}}\)
- \(-\frac{14}{5}{x}^{\frac{-5}{2}}\)
- \(-\frac{14}{5}{x}^{\frac{-7}{2}}+c\)
Correct

Incorrect
Question 25 of 25

25. Question
\(\int \frac{5}{\sqrt{{x}^{3}}}dx\)
- \(-10{x}^{\frac{-1}{2}}+c\)
- \(-10{x}^{\frac{-1}{2}}\)
- \(-\frac{15}{2}{x}^{\frac{-5}{2}}\)
- \(-10{x}^{\frac{-3}{2}}+c\)
Correct

Incorrect

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