CTJan27 Online

1. Evaluate $\int_1^2 x^2 dx$.

   5/3

   3

   7/3

   2

2. Evaluate $\int_0^1 (3x^2 + 2x) dx$.

   3

   2

   1

   0

3. Calculate $\int_{-1}^1 (x^3 - x) dx$.

   0

   1/2

   1

   -1/2

4. Determine the value of $\int_0^4 \sqrt{x} dx$.

   8/3

   4

   16/3

   16

5. Evaluate $\int_1^e \frac{1}{x} dx$.

   -1

   1

   0

   e

6. Find the value of $\int_1^2 \frac{1}{x^2} dx$.

   2

   1

   1/2

   -1/2

7. Calculate $\int_0^1 (x+1)^2 dx$.

   3/2

   2

   7/3

   5/3

8. Determine $\int_0^3 (2x - 1) dx$.

   9

   3

   6

   12

9. Find the definite integral of $\int_1^4 \frac{1}{\sqrt{x}} dx$.

   4

   2

   1

   3

10. Evaluate $\int_{-2}^2 (x^4 - 3x^2 + 5) dx$.

    0

    168/5

    84/5

    42/5

11. Calculate $\int_0^2 (x^3 + 2x^2 - x) dx$.

    16/3

    22/3

    20/3

    24/3

12. Evaluate $\int_0^1 e^x dx$.

    e - 1

    e

    1

    0

13. Find the value of $\int_1^2 (4x^3 - 2x + 1) dx$.

    12

    14

    15

    13

14. Compute $\int_0^1 (5x^4 - 2x^3 + x^2 - 3x + 1) dx$.

    1/3

    2/3

    1

    0

15. Evaluate $\int_1^2 (x + \frac{1}{x}) dx$.

    3/2

    3/2 + \ln 2

    1 + \ln 2

    1/2 + \ln 2

16. Find the definite integral of $\int_{-1}^0 (x^2 + x + 1) dx$.

    5/6

    1/2

    1/6

    7/6

17. Compute $\int_0^1 \frac{x^3 + x}{x} dx$.

    1

    2

    5/3

    4/3

18. Given that $\int_a^b f(x) dx = 5$ and $\int_b^c f(x) dx = 3$, find $\int_a^c f(x) dx$.

    2

    8

    Cannot be determined.

    15

19. If $\int_0^2 f(x) dx = 7$, find $\int_0^2 3f(x) dx$.

    49

    7

    21

    10

20. Evaluate $\int_0^5 7 dx$.

    0

    7

    49

    35

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