Free Printable integration

1.

Which of the following is the indefinite integral of $\frac{x^3}{2}+7$ ?

a)

$\frac{3x^2}{2}$

b)

$\frac{3x^2}{2}+7x+c$

c)

$\frac{x^4}{8}+7x+c$

d)

$\frac{x^4}{8}+c$

2.

Integrate $\sqrt{x}$ with respect to x

a)

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

b)

$\frac{1}{2}x^{-\frac{1}{2}}+\ c$

c)

$\frac{2}{3}x^{\frac{3}{2}}+\ c$

d)

$\frac{3}{2}x^{\frac{3}{2}}+\ c$

3.

$\int\left(5x^2-7x+6\right)dx$

a)

$\frac{5}{3}x-\frac{7}{2}x+6x+C$

b)

$x+x+x+x+x+C$

c)

$x^3-3x^2+6x+C$

d)

$\frac{5}{3}x^3-\frac{7}{2}x^2+6x+C$

4.

$\int8x^{-3}dx$

a)

$-2x^{-4}+C$

b)

$4x^{-3}+C$

c)

$\frac{8}{-3}x^{-2}$

d)

$-4x^{-2}+C$

5.

$\int\left(x^{-1}-1\right)dx$

a)

$\ln\left|x\right|-x+C$

b)

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

c)

$\ln\left|x\right|-1+C$

d)

$1-x+C$

6.

Integrate $\int_{ }^{ }\sin x\ dx$

a)

$=\tan x+c$

b)

$=-\cos x+c$

c)

$=-\sec x+c$

d)

$=\operatorname{cosec}\ x\ +c$

7.

$\int\tan x_{ }dx\$

a)

$\ln\left|\cos\right|+C$

b)

$-\ln\left|\cos x\right|+C$

c)

$\ln\left|\sin x\right|+c$

d)

$\frac{\tan^2x}{2}+c$

8.

$\int\left(\frac{4}{x}-e_{ }^x\right)dx$

a)

$\frac{4}{x^2}-xe^x+C$

b)

$4\ln\left|x\right|-e^x+C$

c)

$\frac{4}{x^2}-4e^x+C$

d)

$4\ln\left|x\right|+e^x+C$

9.

$\int\left(\frac{4}{x}-e_{ }^x\right)dx$

a)

$\frac{4}{x^2}-xe^x+C$

b)

$4\ln\left|x\right|-e^x+C$

c)

$\frac{4}{x^2}-4e^x+C$

d)

$4\ln\left|x\right|+e^x+C$

10.

a)

A

b)

B

c)

C

d)

E

integration

Total questions: 10

Worksheet time: 7mins

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