Free Printable INTEGRATIONS

1.

$\int_{ }^{ }4-18x\ dx$

a)

$-18$

b)

$4x-9x^2$

c)

$4x-9x^2+c$

d)

$\left(4-18x\right)^2+c$

2.

$\int\ \frac{1}{\sqrt{x}}dx$

a)

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

b)

$2\sqrt{x}+c$

c)

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

d)

$-2\sqrt{x}+c$

3.

$\int\ \ \frac{2x+3}{x^3}dx$

a)

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

b)

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

c)

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

d)

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

4.

$\int_{ }^{ }\sqrt{4x-2}\ dx$

a)

$\frac{\left(4x-2\right)^{\frac{3}{2}}}{6}+c$

b)

$\frac{\left(4x-2\right)^{\frac{1}{2}}}{6}+c$

c)

$\frac{6}{\left(4x-2\right)^{\frac{2}{3}}}+c$

d)

$\frac{2}{3}\left(4x-2\right)^2+c$

5.

$\int_{ }^{ }\left(x-4\right)^{-2\ }dx$

a)

$\frac{1}{2\left(x-4\right)^3}+c$

b)

$\frac{1}{4}\left(x-4\right)^{-3}+c$

c)

$-\frac{1}{\left(x-4\right)}+c$

d)

$\frac{1}{4}\left(x-4\right)^2+c$

6.

$\int\ \ \frac{10}{\left(3x-7\right)^5}dx$

a)

$\frac{-5}{6\left(3x-7\right)^4}+c$

b)

$\frac{-6}{5\left(3x-7\right)^6}+c$

c)

$\frac{5}{6\left(3x-7\right)^4}+c$

d)

$\frac{5}{6\left(3x-7\right)^6}+c$

7.

$\int e^{-x+7}\ dx$

a)

$-e^{x+7}+c$

b)

$-e^{-x+7}+c$

c)

$e^{-x+7}+c$

d)

$e^{x+7}+c$

8.

$\int\ \frac{1+e^{2x}}{e^x}\ dx$

a)

$-e^x+c$

b)

$-e^{-x}+c$

c)

$-e^{-x}+e^x+c$

d)

$e^x+e^{-x}+c$

9.

$\int\ \frac{-2}{e^{-x}}\ dx$

a)

$-2e^x+c$

b)

$-2e^{-x}+c$

c)

$-2e^{-x}+e^x+c$

d)

$e^x+2e^{-x}+c$

10.

$\int5^x\ dx$

a)

$\ln5^x+c$

b)

$-5^{-x}\ln5+c$

c)

$\frac{5^x}{-\ln5}+c$

d)

$\frac{5^x}{\ln5}+c$

11.

$\int_{ }^{ }\sec^2\left(2x-1\right)\ dx$

a)

$\tan\left(2x-1\right)+c$

b)

$\frac{1}{\tan\left(2x-1\right)}+c$

c)

$\frac{1}{2}\tan\left(2x-1\right)+c$

d)

$2\tan\left(2x-1\right)^2+c$

12.

$\int\ 3x^2+\cos x\ dx$

a)

$6x^2+\sin x+c$

b)

$6x^2-\cos x+c$

c)

$x^3-\sin x+c$

d)

$x^3+\sin x+c$

13.

$\int_{ }^{ }\sin\left(5x-1\right)\ dx$

a)

$\cos\left(5x-1\right)+c$

b)

$\frac{1}{\sin\left(5x-1\right)}+c$

c)

$\frac{1}{5}\sin\left(5x-1\right)+c$

d)

$5\cos\left(5x-1\right)^2+c$

14.

$\int\ \frac{1+\cos^3x}{\cos^2x}\ dx$

a)

$\sec x+\cos x+c$

b)

$\tan x+\sin x$

c)

$\tan x+\sin x+c$

d)

$\sec x+\sin x+c$

15.

$\int_{ }^{ }\sin\left(2x\right)\ +\cos\left(3x\right)-\sec^22x\ dx$

a)

$\cos\left(2x\right)+\frac{1}{3}\sin\left(3x\right)+\tan\left(2\right)+c$

b)

$\cos\left(2x\right)+\cos3x+\tan\left(2x\right)+c$

c)

$\frac{1}{2}\sin\left(2x\right)+\frac{1}{3}\cos\left(3x\right)+\tan\left(2x\right)+c$

d)

$-\frac{1}{2}\cos\left(2x\right)+\frac{1}{3}\sin\left(3x\right)-\frac{1}{4}\tan\left(2x\right)+c$

16.

$\int_{ }^{ }x\left(3x^2+7\right)\ dx$

a)

$\frac{3}{4}x^4+\frac{7}{2}x^2+c$

b)

$\frac{4}{3}x^4-\frac{7}{2}x^2+c$

c)

$\frac{3}{4}x^4-\frac{7}{2}x^2$

d)

$\frac{4}{3}x^4+\frac{7}{2}x+c$

17.

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

a)

$\frac{3}{4}x^4+\frac{7}{2}x^2+c$

b)

$\frac{1}{4}x^4-\frac{1}{3}x^2+3x+c$

c)

$\frac{1}{4}x^4-\frac{1}{3}x^3-3x^2+c$

d)

$\frac{4}{3}x^4+\frac{7}{2}x^3+3x+c$

18.

$\int_{ }^{ }2\left(5-7x\right)^4\ dx$

a)

$\frac{-2}{35}\left(5-7x\right)^5+c$

b)

$\frac{-2}{35}\left(5-7x\right)^4+c$

c)

$\frac{2}{5}\left(5-7x\right)^5+c$

d)

$\frac{-2}{5}\left(5-7x\right)^4+c$

19.

$\int\ \frac{8}{3-2x}dx$

a)

$8\ln\left|3-2x\right|+c$

b)

$-8\ln\left|3-2x\right|+c$

c)

$-4\ln\left|3-2x\right|+c$

d)

$4\ln\left|3-2x\right|+c$

20.

$\int\ 6\left(4+9x\right)^{-1}\ dx$

a)

$\frac{2}{3\left(4+9x\right)^{-2}}+c$

b)

$6\left(4+9x\right)^2+c$

c)

$-4\ln\left|3-2x\right|+c$

d)

$4\ln\left|3-2x\right|+c$

INTEGRATIONS

Total questions: 20

Worksheet time: 14mins

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