Integration Silver

Integration Silver

Time limit: 0

Quiz Summary

0 of 30 Questions completed

Questions:

Information

You have already completed the quiz before. Hence you can not start it again.

Quiz is loading…

You must sign in or sign up to start the quiz.

You must first complete the following:

Results

Quiz complete. Results are being recorded.

Results

0 of 30 Questions answered correctly

Your time:

Time has elapsed

You have reached 0 of 0 point(s), (0)

Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)

Categories

Multiple Choice 0%

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30

Current
Review / Skip
Answered
Correct
Incorrect

Question 1 of 30

1. Question
To 3DP, find the value of: \({\int }_{1}^{4}\frac{7}{x}dx\)
- \(9.704\)
- \(-4.852\)
- \(-1.892\)
- \(-4.257\)
Correct

Incorrect
Question 2 of 30

2. Question
To 3DP, find the value of: \({\int }_{1}^{4}\frac{5}{x}dx\)
- \(6.931\)
- \(16.094\)
- \(-8.047\)
- \(-12.071\)
Correct

Incorrect
Question 3 of 30

3. Question
To 3DP, find the value of: \({\int }_{3}^{5}\frac{6}{x}dx\)
- \(3.065\)
- \(2.291\)
- \(3.054\)
- \(-2.291\)
Correct

Incorrect
Question 4 of 30

4. Question
To 3DP, find the value of: \({\int }_{2}^{5}\frac{1}{x}dx\)
- \(0.916\)
- \(-0.462\)
- \(0.346\)
- \(-1.386\)
Correct

Incorrect
Question 5 of 30

5. Question
To 3DP, find the value of: \({\int }_{2}^{5}\frac{4}{x}dx\)
- \(3.665\)
- \(-8.788\)
- \(-2.197\)
- \(8.788\)
Correct

Incorrect
Question 6 of 30

6. Question
\({f}^{\prime }\left(x\right)=8x\text{ at }\left(4,2\right)\)
- \(f\left(x\right)=4{x}^{2}-62\)
- \(f\left(x\right)=6x-61\)
- \(f\left(x\right)=6x-\frac{1}{61}\)
- \(f\left(x\right)=3{x}^{2}-62\)
Correct

Incorrect
Question 7 of 30

7. Question
\({f}^{\prime }\left(x\right)=4x\text{ at }\left(6,2\right)\)
- \(f\left(x\right)=2{x}^{2}-70\)
- \(f\left(x\right)={x}^{2}+\frac{1}{96}\)
- \(f\left(x\right)=2x+70\)
- \(f\left(x\right)={x}^{2}-\frac{1}{96}\)
Correct

Incorrect
Question 8 of 30

8. Question
\({f}^{\prime }\left(x\right)=7\text{ at }\left(2,2\right)\)
- \(f\left(x\right)=7x-12\)
- \(f\left(x\right)=7x-11\)
- \(f\left(x\right)=7x-\frac{1}{12}\)
- \(f\left(x\right)=7x+\frac{1}{11}\)
Correct

Incorrect
Question 9 of 30

9. Question
\({f}^{\prime }\left(x\right)=8{x}^{2}\text{ at }\left(3,5\right)\)
- \(f\left(x\right)=\frac{8}{3}{x}^{3}-67\)
- \(f\left(x\right)=\frac{8}{3}{x}^{3}-67\)
- \(f\left(x\right)=4{x}^{2}-\frac{1}{67}\)
- \(f\left(x\right)=4{x}^{2}+\frac{1}{67}\)
Correct

Incorrect
Question 10 of 30

10. Question
\({f}^{\prime }\left(x\right)=x\text{ at }\left(0,6\right)\)
- \(f\left(x\right)=\frac{1}{2}{x}^{2}+6\)
- \(f\left(x\right)=\frac{1}{2}{x}^{2}-6\)
- \(f\left(x\right)=\frac{1}{2}{x}^{2}+\frac{1}{6}\)
- \(f\left(x\right)=\frac{1}{2}{x}^{2}-\frac{1}{6}\)
Correct

Incorrect
Question 11 of 30

11. Question
\({f}^{\prime }\left(x\right)=7{x}^{\frac{2}{3}}\text{ at }\left(8,2\right)\)
- \(f\left(x\right)=\frac{21}{5}{x}^{\frac{5}{3}}-132\frac{2}{5}\)
- \(f\left(x\right)=\frac{21}{2}{x}^{\frac{2}{3}}+\frac{1}{132}\)
- \(f\left(x\right)=\frac{21}{2}{x}^{\frac{2}{3}}-\frac{1}{131}\)
- \(f\left(x\right)=3{x}^{\frac{5}{3}}+\frac{1}{131}\)
Correct

Incorrect
Question 12 of 30

12. Question
\({f}^{\prime }\left(x\right)=3{x}^{\frac{1}{6}}\text{ at }\left(0,7\right)\)
- \(f\left(x\right)=\frac{18}{7}{x}^{\frac{7}{6}}+7\)
- \(f\left(x\right)=18{x}^{\frac{1}{6}}+\frac{1}{7}\)
- \(f\left(x\right)=18{x}^{\frac{1}{6}}-\frac{1}{7}\)
- \(f\left(x\right)=18{x}^{\frac{1}{6}}+7\)
Correct

Incorrect
Question 13 of 30

13. Question
\({f}^{\prime }\left(x\right)=3{x}^{\frac{5}{6}}\text{ at }\left(0,8\right)\)
- \(f\left(x\right)=\frac{18}{11}{x}^{\frac{11}{6}}+8\)
- \(f\left(x\right)=\frac{18}{11}{x}^{\frac{11}{6}}-\frac{1}{8}\)
- \(f\left(x\right)=\frac{18}{11}{x}^{\frac{11}{6}}-8\)
- \(f\left(x\right)=\frac{18}{11}{x}^{\frac{11}{6}}+\frac{1}{8}\)
Correct

Incorrect
Question 14 of 30

14. Question
\({f}^{\prime }\left(x\right)=12{x}^{\frac{1}{4}}\text{ at }\left(0,3\right)\)
- \(f\left(x\right)=\frac{48}{5}{x}^{\frac{5}{4}}+3\)
- \(f\left(x\right)=\frac{48}{5}{x}^{\frac{5}{4}}-\frac{1}{3}\)
- \(f\left(x\right)=\frac{48}{5}{x}^{\frac{5}{4}}-3\)
- \(f\left(x\right)=48{x}^{\frac{1}{4}}+3\)
Correct

Incorrect
Question 15 of 30

15. Question
\({f}^{\prime }\left(x\right)={x}^{\frac{3}{5}}\text{ at }\left(1,4\right)\)
- \(f\left(x\right)=\frac{5}{8}{x}^{\frac{8}{5}}+3\frac{3}{8}\)
- \(f\left(x\right)=\frac{5}{8}{x}^{\frac{8}{5}}-3\frac{2}{8}\)
- \(f\left(x\right)=\frac{5}{8}{x}^{\frac{8}{5}}-\frac{7}{23}\)
- \(f\left(x\right)=\frac{5}{3}{x}^{\frac{3}{5}}+\frac{7}{23}\)
Correct

Incorrect
Question 16 of 30

16. Question
\({f}^{\prime }\left(x\right)=\sqrt[5]{{x}^{3}}\text{ at }\left(0,9\right)\)
- \(f\left(x\right)=\frac{5}{8}{x}^{\frac{8}{5}}+9\)
- \(f\left(x\right)=\frac{5}{3}{x}^{\frac{3}{5}}+9\)
- \(f\left(x\right)=\frac{5}{3}{x}^{\frac{3}{5}}-\frac{1}{9}\)
- \(f\left(x\right)=\frac{5}{8}{x}^{\frac{8}{5}}-\frac{1}{9}\)
Correct

Incorrect
Question 17 of 30

17. Question
\({f}^{\prime }\left(x\right)=\sqrt[3]{{x}^{2}}\text{ at }\left(8,6\right)\)
- \(f\left(x\right)=\frac{3}{5}{x}^{\frac{5}{3}}-13\frac{1}{5}\)
- \(f\left(x\right)=\frac{3}{2}{x}^{\frac{2}{3}}-\frac{5}{66}\)
- \(f\left(x\right)=\frac{3}{5}{x}^{\frac{5}{3}}+\frac{5}{66}\)
- \(f\left(x\right)=\frac{3}{2}{x}^{\frac{2}{3}}+13\frac{1}{5}\)
Correct

Incorrect
Question 18 of 30

18. Question
\({f}^{\prime }\left(x\right)=\sqrt[3]{{x}^{2}}\text{ at }\left(8,8\right)\)
- \(f\left(x\right)=\frac{3}{5}{x}^{\frac{5}{3}}-11\frac{1}{5}\)
- \(f\left(x\right)=\frac{3}{5}{x}^{\frac{5}{3}}-\frac{5}{56}\)
- \(f\left(x\right)=\frac{3}{2}{x}^{\frac{2}{3}}-11\frac{1}{5}\)
- \(f\left(x\right)=\frac{3}{5}{x}^{\frac{5}{3}}+\frac{5}{56}\)
Correct

Incorrect
Question 19 of 30

19. Question
\({f}^{\prime }\left(x\right)=\sqrt[5]{{x}^{2}}\text{ at }\left(0,3\right)\)
- \(f\left(x\right)=\frac{5}{7}{x}^{\frac{7}{5}}+3\)
- \(f\left(x\right)=\frac{5}{2}{x}^{\frac{2}{5}}-3\)
- \(f\left(x\right)=\frac{5}{7}{x}^{\frac{7}{5}}-3\)
- \(f\left(x\right)=\frac{5}{2}{x}^{\frac{2}{5}}+3\)
Correct

Incorrect
Question 20 of 30

20. Question
\({f}^{\prime }\left(x\right)=\sqrt[4]{{x}^{3}}\text{ at }\left(0,8\right)\)
- \(f\left(x\right)=\frac{4}{7}{x}^{\frac{7}{4}}+8\)
- \(f\left(x\right)=\frac{4}{7}{x}^{\frac{7}{4}}-\frac{1}{8}\)
- \(f\left(x\right)=\frac{4}{7}{x}^{\frac{7}{4}}+\frac{1}{8}\)
- \(f\left(x\right)=\frac{4}{3}{x}^{\frac{3}{4}}+\frac{1}{8}\)
Correct

Incorrect
Question 21 of 30

21. Question
\({f}^{\prime }\left(x\right)=\frac{4}{{x}^{3}}\text{ at }\left(2,7\right)\)
- \(f\left(x\right)=-2{x}^{-2}+7\frac{1}{2}\)
- \(f\left(x\right)=-2{x}^{-2}+\frac{2}{15}\)
- \(f\left(x\right)=-2{x}^{-2}-\frac{2}{15}\)
- \(f\left(x\right)=-\frac{4}{3}{x}^{-3}+\frac{2}{15}\)
Correct

Incorrect
Question 22 of 30

22. Question
\({f}^{\prime }\left(x\right)=\frac{5}{{x}^{3}}\text{ at }\left(4,7\right)\)
- \(f\left(x\right)=-\frac{5}{2}{x}^{-2}+7\frac{5}{32}\)
- \(f\left(x\right)=-\frac{5}{2}{x}^{-2}-\frac{32}{229}\)
- \(f\left(x\right)=-\frac{5}{3}{x}^{-3}+7\frac{5}{32}\)
- \(f\left(x\right)=-\frac{5}{3}{x}^{-3}-7\frac{5}{32}\)
Correct

Incorrect
Question 23 of 30

23. Question
\({f}^{\prime }\left(x\right)=\frac{6}{{x}^{4}}\text{ at }\left(6,2\right)\)
- \(f\left(x\right)=-2{x}^{-3}+2\frac{1}{108}\)
- \(f\left(x\right)=-\frac{3}{2}{x}^{-4}+\frac{108}{217}\)
- \(f\left(x\right)=-\frac{3}{2}{x}^{-4}-2\frac{1}{108}\)
- \(f\left(x\right)=-\frac{3}{2}{x}^{-4}+2\frac{1}{108}\)
Correct

Incorrect
Question 24 of 30

24. Question
\({f}^{\prime }\left(x\right)=\frac{5}{{x}^{4}}\text{ at }\left(2,2\right)\)
- \(f\left(x\right)=-\frac{5}{3}{x}^{-3}+2\frac{5}{24}\)
- \(f\left(x\right)=-\frac{5}{4}{x}^{-4}-2\frac{5}{24}\)
- \(f\left(x\right)=-\frac{5}{3}{x}^{-3}-2\frac{5}{24}\)
- \(f\left(x\right)=-\frac{5}{4}{x}^{-4}+\frac{24}{53}\)
Correct

Incorrect
Question 25 of 30

25. Question
\({f}^{\prime }\left(x\right)=\frac{1}{{x}^{3}}\text{ at }\left(6,6\right)\)
- \(f\left(x\right)=-\frac{1}{2}{x}^{-2}+6\frac{1}{72}\)
- \(f\left(x\right)=-\frac{1}{3}{x}^{-3}-6\)
- \(f\left(x\right)=-\frac{1}{3}{x}^{-3}+6\)
- \(f\left(x\right)=-\frac{1}{2}{x}^{-2}-\frac{1}{2}\)
Correct

Incorrect
Question 26 of 30

26. Question
\({f}^{\prime }\left(x\right)=\frac{6}{\sqrt{{x}^{4}}}\text{ at }\left(8,3\right)\)
- \(f\left(x\right)=-6{x}^{-1}+3\frac{3}{4}\)
- \(f\left(x\right)=-6{x}^{-1}-\frac{4}{15}\)
- \(f\left(x\right)=-3{x}^{-2}+3\frac{3}{4}\)
- \(f\left(x\right)=-3{x}^{-2}-3\frac{3}{4}\)
Correct

Incorrect
Question 27 of 30

27. Question
\({f}^{\prime }\left(x\right)=\frac{6}{\sqrt{{x}^{3}}}\text{ at }\left(1,3\right)\)
- \(f\left(x\right)=-12{x}^{\frac{-1}{2}}+15\)
- \(f\left(x\right)=-4{x}^{\frac{-3}{2}}-\frac{1}{15}\)
- \(f\left(x\right)=-4{x}^{\frac{-3}{2}}+15\)
- \(f\left(x\right)=-4{x}^{\frac{-3}{2}}-15\)
Correct

Incorrect
Question 28 of 30

28. Question
\({f}^{\prime }\left(x\right)=\frac{7}{\sqrt{{x}^{7}}}\text{ at }\left(1,3\right)\)
- \(f\left(x\right)=-\frac{14}{5}{x}^{\frac{-5}{2}}+5\frac{4}{5}\)
- \(f\left(x\right)=-2{x}^{\frac{-7}{2}}+5\frac{4}{5}\)
- \(f\left(x\right)=-2{x}^{\frac{-7}{2}}-\frac{5}{29}\)
- \(f\left(x\right)=-\frac{14}{5}{x}^{\frac{-5}{2}}+\frac{5}{29}\)
Correct

Incorrect
Question 29 of 30

29. Question
\({f}^{\prime }\left(x\right)=\frac{2}{\sqrt{{x}^{8}}}\text{ at }\left(1,5\right)\)
- \(f\left(x\right)=-\frac{2}{3}{x}^{-3}+5\frac{2}{3}\)
- \(f\left(x\right)=-\frac{1}{2}{x}^{-4}-5\frac{2}{3}\)
- \(f\left(x\right)=-\frac{1}{2}{x}^{-4}+5\frac{2}{3}\)
- \(f\left(x\right)=-\frac{2}{3}{x}^{-3}+\frac{3}{17}\)
Correct

Incorrect
Question 30 of 30

30. Question
\({f}^{\prime }\left(x\right)=\frac{8}{\sqrt{{x}^{4}}}\text{ at }\left(2,9\right)\)
- \(f\left(x\right)=-8{x}^{-1}+13\)
- \(f\left(x\right)=-4{x}^{-2}-13\)
- \(f\left(x\right)=-4{x}^{-2}+\frac{1}{13}\)
- \(f\left(x\right)=-8{x}^{-1}-\frac{1}{13}\)
Correct

Incorrect

Login

Accessing this course requires a login. Please enter your credentials below!

Username or Email Address

Password

Remember Me

Lost Your Password?

Register

Don't have an account? Register one!

Register an Account