Free Printable Anti-differentiation quiz

1.

$\int_{ }^{ }\ \frac{3}{2x^5}dx\ =$

a)

$-\frac{3}{2x^6}+c$

b)

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

c)

$\frac{3}{8x^3}+c$

d)

$-\frac{3}{8x^4}+c$

2.

$\int\ \frac{2}{x^5}dx=$

a)

$-\frac{1}{2x^4}$

b)

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

c)

$\frac{1}{2x^4}$

d)

$\frac{2}{x^4}$

3.

$\int_{ }^{ }\sqrt{x^5}\ dx\ =$

a)

$\frac{2}{7}\sqrt{x^7}+\ C$

b)

$\frac{2}{5}\sqrt{x^7}\ +\ C$

c)

$5x^2\ +\ C$

d)

$\frac{1}{6}\sqrt{x^6}+C$

4.

$\int\left(x^3+1\right)^2dx=$

a)

b)

c)

d)

5.

$\int_{ }^{ }\left(2x-5\right)^6dx\ =$

a)

$\frac{1}{7}\left(2x-5\right)^7+c$

b)

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

c)

$\frac{1}{14}\left(2x-5\right)^7+c$

d)

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

6.

$\int\cos\left(3x+4\right)\ dx=$

a)

$\frac{1}{3}\sin\left(3x+4\right)+C$

b)

$\frac{1}{3}\cos\left(3x+4\right)+C$

c)

$\frac{2}{3}\sin\left(3x+4\right)+C$

d)

$-\frac{2}{3}\cos\left(3x+4\right)+C$

7.

What is the antiderivative of $xdx$ ?

a)

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

b)

$x^2+c$

c)

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

d)

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

8.

Find $\int_{ }^{ }4dx$

a)

$4x$

b)

$4x+c$

c)

$2x^2+c$

d)

$x^2+c$

9.

Find $\int_{ }^{ }e^{2x}dx$

a)

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

b)

$e^{2x}+c$

c)

$e^{2u}+c$

d)

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

10.

Find $\int_{ }^{ }\left(6x^2+4x-5\right)dx$

a)

$6x^3+4x^2-5x+c$

b)

$3x^3+2x^2-5x+c$

c)

$2x^3+2x^2-5x+c$

d)

Good Job

11.

Find the antiderivative of $\left(2x+5\right)dx$

a)

$2x^2+5x+c$

b)

$x^2+5x+c$

c)

$2x+5x+c$

d)

Nice Try

12.

The symbol $\int$ is called?

a)

Integrand

b)

Integral

c)

Differential

d)

function

13.

Which of the following is the anti-derivative of $\int2x\ dx$

a)

$x^2$

b)

$2x^2+c$

c)

$2x$

d)

None of the choices

14.

Which of the following is the anti-derivative of $\int\left(-3x^5+2x\right)\ dx$

a)

$-\frac{1}{2}x^6+x^2+c$

b)

$-\frac{1}{2}x^6+x^3+c$

c)

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

d)

$-2x^6+\frac{x^2}{2}+c$

15.

Which of the following is the anti-derivative of $\int\left(\sqrt{x}-3\right)\ dx$

a)

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

b)

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

c)

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

d)

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

16.

What does C represent in an antiderivative?

a)

A variable

b)

A constant

c)

None of these

d)

Unknown

17.

∫(4 - 18x)dx

a)

F(x) = -18

b)

F(x) = 4x - 9x²

c)

F(x) = 4x - 9x²+ C

d)

F(x) = (4 - 18x)² /2 + C

18.

Integrate $\int_{ }^{ }x^6dx$

a)

$=6x^5+c$

b)

$=\frac{x^7}{7}+c$

c)

$=6x^6+c$

d)

$=\frac{x^5}{6}+c$

19.

$\int_{ }^{ }\frac{\text{1}}{\text{2x}}dx$

a)

$=\ln2x+c$

b)

$=2\ \ln2x+c$

c)

$=\frac{1}{2}\ln2x+c$

d)

$=\frac{1}{\ln2x}+c$

20.

∫ - sinx dx

a)

-cos x + C

b)

cos x + C

c)

tan x + C

d)

1/√1- x²

21.

$\int_{ }^{ }e^{5x}dx\ =$

a)

$e^{5x}+c$

b)

$5e^{5x}+c$

c)

$\frac{1}{5}e^{5x}+c$

d)

none of these

22.

∫(cos x + 3x²)dx =

a)

-sin x + x³ + c

b)

sinx + x³ + c

c)

-sin x + 6x

d)

🌞

Anti-differentiation quiz

Total questions: 22

Worksheet time: 30mins

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