Free Printable Integral

Free Printable Worksheets

Worksheets

Integral

Total questions: 12

Worksheet time: 28mins

Name

Class

Date

1.

$\int_{ }^{ }dx=$

a)

$C$

b)

$x+C$

c)

$\infty$

d)

$\frac{1}{2}x^2+C$

2.

$\int_{ }^{ }x^{^n}dx=$

a)

$\frac{1}{n}x^{n+1}+C$

b)

$nx^{n+1}+C$

c)

$nx^{n-1}+C$

d)

$\frac{1}{n+1}x^{n+1}+C$

3.

$\int_{ }^{ }\sin(2x)dx=$

a)

$\frac{1}{2}\cos(2x)+C$

b)

$-\frac{1}{2}\cos(2x)+C$

c)

$2\cos(2x)+C$

d)

$-2\cos(2x)+C$

4.

$\int_0^2(3x^2-15x-18)dx=...$

a)

-58

b)

-56

c)

-28

d)

-16

5.

$\int_1^4(x^2-2x+2)dx=...$

a)

18

b)

16

c)

14

d)

12

6.

$\int_{-1}^32x(3x+4)dx=...$

a)

48

b)

56

c)

88

d)

96

7.

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

a)

82

b)

92

c)

102

d)

112

8.

$\int_1^4(3\sqrt{x}-\frac{1}{\sqrt{x}})dx=...$

a)

2

b)

4

c)

8

d)

12

9.

$\int_{ }^{ }6x(1-x^2)^4dx=...$

a)

$-\frac{2}{5}(1-x^2)^5+C$

b)

$-\frac{3}{5}(1-x^2)^5+C$

c)

$\frac{2}{5}(1-x^2)^5+C$

d)

$\frac{3}{5}(1-x^2)^5+C$

10.

$\int_{ }^{ }\frac{2x-1}{\sqrt{2x^2-2x+5}}dx=...$

a)

$\sqrt{2x^2-2x+5}+C$

b)

$2\sqrt{2x^2-2x+5}+C$

c)

$3\sqrt{2x^2-2x+5}+C$

d)

$4\sqrt{2x^2-2x+5}+C$

11.

$\int_{ }^{ }(4x+3)(4x^2+6x-9)^9dx=...$

a)

$\frac{1}{10}(4x^2+6x-9)^{10}+C$

b)

$\frac{1}{15}(4x^2+6x-9)^{10}+C$

c)

$\frac{1}{20}(4x^2+6x-9)^{10}+C$

d)

$\frac{1}{30}(4x^2+6x-9)^{10}+C$

12.

$\int_{ }^{ }(\sin(2x))^2\cos(2x)dx=...$

a)

$-\frac{1}{4}(\sin(2x))^3+C$

b)

$-\frac{1}{6}(\sin(2x))^3+C$

c)

$\frac{1}{4}(\sin(2x))^3+C$

d)

$\frac{1}{6}(\sin(2x))^3+C$

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