CTJan27 Online

1. Evaluate $\int_0^5 3 dx$

   15

   0

   3

   5

2. Evaluate $\int_1^4 2x dx$

   15

   6

   16

   30

3. Evaluate $\int_0^3 x^2 dx$

   9

   0

   27

   6

4. Evaluate $\int_{-2}^2 x^3 dx$

   0

   8

   -8

   4

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

   2

   0

   1

   5

6. Evaluate $\int_2^5 x dx$

   21

   $\frac{21}{2}$

   5

   $-\frac{21}{2}$

7. Evaluate $\int_{-1}^3 (2-x) dx$

   $\frac{3}{2}$

   0

   4

   -1

8. Evaluate $\int_1^2 \frac{1}{x^2} dx$

   $\ln 2$

   $\frac{1}{4}$

   $\frac{1}{2}$

   $-\frac{1}{2}$

9. Evaluate $\int_0^4 \sqrt{x} dx$

   $\frac{16}{3}$

   2

   8

   4

10. Evaluate $\int_0^8 x^{1/3} dx$

    16

    6

    8

    12

11. Evaluate $\int_{-3}^1 (5x-2) dx$

    -16

    29

    -28

    28

12. Evaluate $\int_0^6 |x-3| dx$

    9

    0

    4.5

    18

13. Evaluate $\int_0^4 2|x-2| dx$

    16

    4

    8

    0

14. Evaluate $\int_0^3 f(x) dx$, where $f(x) = \begin{cases} 2, & 0 \le x \le 1 \\ x, & 1 < x \le 3 \end{cases}$

    6

    4

    2

    4.5

15. Evaluate $\int_1^5 (4-\frac{x}{2}) dx$

    10

    $\frac{35}{2}$

    $\frac{55}{4}$

    4

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

    $\frac{26}{3}$

    14

    9

    $\frac{25}{3}$

17. Evaluate $\int_0^1 (6x^5-3x^2+7) dx$

    9

    0

    10

    7

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

    -19

    $\frac{7}{3}$

    91

    $-\frac{25}{3}$

19. Evaluate $\int_0^3 \frac{1}{\sqrt{x+1}} dx$

    4

    2

    1

    $\ln 4$

20. Evaluate $\int_{-1}^2 (x^2+2x+1) dx$

    9

    $\frac{25}{3}$

    $\frac{26}{3}$

    15

Answer Sheet