Free Printable Simple Integration

1.

$\int_{ }^{ }3\ dx$

a)

$\frac{1}{3}\ +\ c$

b)

$3^{-1\ }+\ c$

c)

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

d)

$3x\ +c$

2.

$\frac{1}{y^{\ 4}}$ is equivalent to

a)

$y^4$

b)

$y^{-4}$

c)

$4y$

d)

$4y^{-1}$

3.

$\frac{2}{3x^5}\$ is equivalent to

a)

$6x^{-5}$

b)

$\frac{2}{3}x^{-5}$

c)

$\frac{3x^{-5}}{2}$

d)

$\frac{2x^5}{3}$

4.

$\int_{ }^{ }\ \frac{u^4}{u^6\ }\ du$

a)

$-\ \frac{1}{u}\ +\ c$

b)

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

c)

$\frac{1}{u}+\ c$

d)

$-\frac{1}{2u}\ +\ c$

5.

$\int5x^4dx$

a)

$x^5$

b)

$\frac{5}{4}x^5+C$

c)

$x^5+C$

d)

$20x^3$ + C

6.

$\int\left(x^2-2x\right)dx$

a)

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

b)

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

c)

$2x-2$

d)

$\frac{1}{3}x^3-x^2$

7.

$\int6x\left(x+2\right)dx$

a)

$6x^2+12x+C$

b)

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

c)

$3x^2+6x+C$

d)

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

8.

$\int\left(6\sqrt{x}-1\right)dx$

a)

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

b)

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

c)

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

d)

I wasn't taught how to do this

9.

$\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx$

a)

$-x^{-1}-3x^{-2}+C$

b)

$\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C$

c)

$-x^{-1}-3x^{-2}$

d)

$-x-3x^2+C$

10.

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

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)

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

11.

$\int_{ }^{ }\ \frac{5}{3\ }dy\$

a)

$\frac{5}{3}y^{-1}\ +\ c$

b)

$y\ +\ c$

c)

$\frac{5y}{3\ }\ +\ c$

d)

$\frac{5}{3y}\ +\ c$

12.

$\int_{ }^{ }\ \frac{s^4}{s^2}\ +\ \frac{s^2}{s^4}\ +\ 3\ ds$

a)

$\frac{s^3}{3}\ +\ \frac{1}{s}\ +\ c$

b)

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

c)

$s^2\ +\ \frac{1}{s^2}\ +\ 3\ +c$

d)

$\frac{s^3}{3}\ -\ \frac{1}{s}\ +\ 3s\ +\ c$

Simple Integration

Total questions: 12

Worksheet time: 7mins

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