Free Printable Definite Integrals

1.

What is the value of the definite integral : $\int_{-3}^3x^2+x+1\ dx$ ?

a)

6

b)

9

c)

24

d)

33

2.

$\int_0^{\frac{\pi}{2}}\cos\left(x\right)\ dx$

a)

-1

b)

1

c)

$\pi$

d)

$\frac{\pi}{2}$

3.

$\int_0^3\left(3x^2-4x\right)dx=$

a)

9

b)

15

c)

16

d)

14

4.

Using the areas of each region given
$\int_a^df\left(x\right)=$

a)

6

b)

20

c)

2

d)

24

5.

$\int_1^4\ \left|x\ -\ 3\right|\ dx$ =

a)

$\frac{-5}{2}$

b)

6

c)

$\frac{-3}{2}$

d)

$\frac{5}{2}$

6.

$\int_{-2}^{-1}\ \left(4x^2\ +\ 3x\ -1\right)\ dx$ =

a)

$\frac{89}{6}$

b)

$\frac{23}{6}$

c)

7

d)

0

7.

Using the areas of each region given
$\int_b^df\left(x\right)=$

a)

2

b)

22

c)

-2

d)

3

8.

$\int_{-3}^5\ \left|x^2+7x\ -\ 18\right|\ dx$ =

a)

154.33

b)

-37.33

c)

161

d)

52.67

9.

What is the value of the definite integral : $\int_{-3}^{-1}\ \frac{6-3x^3}{5x^8}\$ ?

a)

2697.07

b)

12.15

c)

0.32

d)

2624.41

10.

Using the areas of each region given
$\int_a^cf\left(x\right)=$

a)

20

b)

-7

c)

-10

d)

-4

Definite Integrals

Total questions: 10

Worksheet time: 1hrs 20mins

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