Free Printable Definite Integration

1.

∫_₀^²(3x² - 2x)dx ?

a)

8

b)

4

c)

-8

d)

-4

2.

Given that $y=\frac{3\ln\left(x^2+4\right)}{2}$ and $\frac{dy}{dx}=\frac{3x}{x^2+4}$ , find $\int_1^2\ \frac{3x}{x^2+4}dx$

a)

$\frac{3}{2}\ln\ \frac{8}{5}$

b)

$\frac{3}{2}\ln\ \frac{5}{8}$

c)

$-\frac{3}{2}\ln\ \frac{8}{5}$

d)

$\ln\ 3$

3.

Evaluate the definite integral.

a)

8 pi

b)

16 pi

c)

128 pi

d)

Not possible

4.

a)

⅝

b)

-⅝

c)

⅜

d)

45/16

5.

$\int_0^{\frac{\pi}{2}}\ ^{ }e^x\left(\ \tan x\ +\ \sec^2x\right)dx$

a)

0

b)

not defined

c)

e

d)

none

6.

Given that $∫_2^5g(x)dx=-7$ and $\int_5^9\ g\left(x\right)dx=10$

Find the value of $∫_2^9g(x)dx$

a)

-17

b)

3

c)

-3

d)

17

7.

Value of integral

$\int_{ }^{ }3x^2\cos\ x^3\ dx$

a)

$\cos\ x^3+c$

b)

$\sin\ x^3+c$

c)

$\frac{x^3}{3}+c$

d)

$3x^2+c$

8.

$\int_0^{\frac{\pi}{2}}\ \frac{Sinx\ -\ Cosx}{1\ +\ Sinx.Cosx}dx$

The value of

a)

0

b)

1

c)

- 1

d)

2

9.

$\int_0^{\pi}\left|Sin\ x\right|\ dx$

a)

0

b)

1

c)

2

d)

3

10.

$\int_{-1}^1\ Sin^{13}x\ dx$

a)

2

b)

-27

c)

13

d)

0

Definite Integration

Total questions: 10

Worksheet time: 20mins

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