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Question 1 of 21
1. Question
What is the answer to: ${\int f'(x) d/dx}$
- ${f(x)}$
- ${f(x) + c}$
- ${f(x) d/dx}$
- ${\int f(x)}$
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Question 2 of 21
2. Question
Using the given standard forms integrate
1. ${\int x^4dx}$
- ${\int x^4dx = \frac{x^5}{5} + C}$
- ${\int 3x^4dx = \frac{3}{5}x^5 + C}$
- ${\int x^3 +1 dx = \frac{x^4}{4} + x + C}$
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Question 3 of 21
3. Question
Using the given standard forms integrate
${\int x^3 +1 dx}$
- ${\int x^3 +1 dx = \frac{x^4}{4} + x + C}$
- ${\int 3x^4dx = \frac{3}{5}x^5 + C}$
- ${\int x^4dx = \frac{x^5}{5} + C}$
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Question 4 of 21
4. Question
Using the given standard forms integrate
${\int 3x^4dx}$
- ${\int x^3 +1 dx = \frac{x^4}{4} + x + C}$
- ${\int 3x^4dx = \frac{3}{5}x^5 + C}$
- ${\int x^3 +1 dx = \frac{x^4}{4} + x + C}$
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Question 5 of 21
5. Question
Using the given standard forms integrate
${\int^2_{-1} x^2 dx}$
- ${\left[\frac{x^5}{5}+2x\right]^5_3=\frac{2902}{5}}$
- ${\left[\frac{6x^4}{4}\right]^0_{-4}=-384}$
- ${\left[\frac{x^3}{3}\right]^2_{-1}=3}$
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Question 6 of 21
6. Question
Using the given standard forms integrate
${\int^5_3 x^4 +2 dx}$
- ${\left[\frac{x^5}{5}+2x\right]^5_3=\frac{2902}{5}}$
- ${\left[\frac{x^3}{3}\right]^2_{-1}=3}$
- ${\left[\frac{6x^4}{4}\right]^0_{-4}=-384}$
Correct
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Question 7 of 21
7. Question
Using the given standard forms integrate
${\int^2_{-1} x^2 dx}$
- ${\left[\frac{x^5}{5}+2x\right]^5_3=\frac{2902}{5}}$
- ${\left[\frac{x^3}{3}\right]^2_{-1}=3}$
- ${\left[\frac{6x^4}{4}\right]^0_{-4}=-384}$
Correct
Incorrect
Question 8 of 21
8. Question
Using the given standard forms integrate
${\int^5_3 x^4 +2 dx}$
- ${\left[\frac{x^5}{5}+2x\right]^5_3=\frac{2902}{5}}$
- ${\left[\frac{6x^4}{4}\right]^0_{-4}=-384}$
- ${\left[\frac{x^3}{3}\right]^2_{-1}=3}$
Correct
Incorrect
Question 9 of 21
9. Question
Using the given standard forms integrate
${\int^0_{-4} 6x^3 dx}$
- ${\left[\frac{x^3}{3}\right]^2_{-1}=3}$
- ${\left[\frac{x^5}{5}+2x\right]^5_3=\frac{2902}{5}}$
- ${\left[\frac{6x^4}{4}\right]^0_{-4}=-384}$
Correct
Incorrect
Question 10 of 21
10. Question
Using the given standard forms integrate
${\int^2_{-1} x^2 dx}$
- ${\int (x+3)^3 +2 dx = \frac{(x+3)^4}{4} + 2x + C}$
- ${\int (x+1)^2 dx = \frac{(x+1)^3}{3} + C}$
- ${\int (4+x)^2 +1 dx = \frac{(4+x)^3}{3} + x + c}$
Correct
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Question 11 of 21
11. Question
Using the given standard forms integrate
${\int (x+3)^3 +2 dx}$
- ${\int (x+3)^3 +2 dx = \frac{(x+3)^4}{4} + 2x + C}$
- ${\int (x+1)^2 dx = \frac{(x+1)^3}{3} + C}$
- ${\int (4+x)^2 +1 dx = \frac{(4+x)^3}{3} + x + c}$
Correct
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Question 12 of 21
12. Question
Using the given standard forms integrate
1. ${\int (4+x)^2 +1 dx}$
- ${\int (x+1)^2 dx = \frac{(x+1)^3}{3} + C}$
- ${\int (x+3)^3 +2 dx = \frac{(x+3)^4}{4} + 2x + C}$
- ${\int (4+x)^2 +1 dx = \frac{(4+x)^3}{3} + x + c}$
Correct
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Question 13 of 21
13. Question
Using the given standard forms integrate
${\int^2_0 (x-1)^2 dx}$
- ${\left[\frac{(x+2)^4}{4}+x\right]^4_1=\frac{1227}{4}}$
- ${\left[\frac{(x-1)^3}{3}\right]^2_0=\frac{2}{3}}$
- ${\left[\frac{(x-1)^3}{3}\right]^2_0=\frac{2}{3}}$
Correct
Incorrect
Question 14 of 21
14. Question
Using the given standard forms integrate
${\int^4_1 (x+2)^3 +1 dx}$
- ${\left[\frac{(x+2)^4}{4}+x\right]^4_1=\frac{1227}{4}}$
- ${\left[\frac{(x-1)^3}{3}\right]^2_0=\frac{2}{3}}$
- ${\left[\frac{(2x-5)^5}{10}+3x\right]^2_{-2}=\frac{29584}{5}}$
Correct
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Question 15 of 21
15. Question
Using the given standard forms integrate
${\int^2_{-2} (2x-1)^4 +3 dx}$
- ${\left[\frac{(2x-5)^5}{10}+3x\right]^2_{-2}=\frac{29584}{5}}$
- ${\left[\frac{(x+2)^4}{4}+x\right]^4_1=\frac{1227}{4}}$
- ${\left[\frac{(x-1)^3}{3}\right]^2_0=\frac{2}{3}}$
Correct
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Question 16 of 21
16. Question
Using the given standard forms integrate
${\int (2x+3)^3 +5 dx}$
- ${\int \left(\frac{x}{3}+3\right)^2 dx = \frac{\left(\frac{x}{3}+3\right)^3}{3 \times \frac{1}{3}} + C = \left(\frac{x}{3}+3\right)^3 + C}$
- ${\int \left(\frac{x}{3}+3\right)^2 dx = \frac{\left(\frac{x}{3}+3\right)^3}{3 \times \frac{1}{3}} + C = \left(\frac{x}{3}+3\right)^3 + C}$
- ${\int 4(x+3)^2 dx = \frac{(x+3)^3}{12} + C}$
Correct
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Question 17 of 21
17. Question
Using the given standard forms integrate
${\int \left(\frac{x}{3}+3\right)^2 dx}$
- ${\int (2x+3)^3 +5 dx = \frac{(2x+3)^4}{8} + 5x + C}$
- ${\int \left(\frac{x}{3}+3\right)^2 dx = \frac{\left(\frac{x}{3}+3\right)^3}{3 \times \frac{1}{3}} + C = \left(\frac{x}{3}+3\right)^3 + C}$
- ${\int 4(x+3)^2 dx = \frac{(x+3)^3}{12} + C}$
Correct
Incorrect
Question 18 of 21
18. Question
Using the given standard forms integrate
${\int 4(x+3)^2 dx}$
- ${\int (2x+3)^3 +5 dx = \frac{(2x+3)^4}{8} + 5x + C}$
- ${\int 4(x+3)^2 dx = \frac{(x+3)^3}{12} + C}$
- ${\int \left(\frac{x}{3}+3\right)^2 dx = \frac{\left(\frac{x}{3}+3\right)^3}{3 \times \frac{1}{3}} + C = \left(\frac{x}{3}+3\right)^3 + C}$
Correct
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Question 19 of 21
19. Question
Using the given standard forms integrate
${\int^4_{-1} \sqrt{3x+4} dx}$
- ${\int^3_{2} \frac{x^2-4x^5}{x^2} dx}$
- ${\int^4_1 2x(x+1)(x-1) dx}$
- ${\int^4_{-1} \sqrt{3x+4} dx}$
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Question 20 of 21
20. Question
Using the given standard forms integrate
${\int^4_1 2x(x+1)(x-1) dx}$
- ${\int^4_{-1} \sqrt{3x+4} dx}$
- ${\int^4_1 2x(x+1)(x-1) dx}$
- ${\int^3_{2} \frac{x^2-4x^5}{x^2} dx}$
Correct
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Question 21 of 21
21. Question
Using the given standard forms integrate
${\int^3_{2} \frac{x^2-4x^5}{x^2} dx}$
- ${\int^4_{-1} \sqrt{3x+4} dx}$
- ${\int^4_1 2x(x+1)(x-1) dx}$
- ${\int^3_{2} \frac{x^2-4x^5}{x^2} dx}$
Correct
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