wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Integration

Total questions: 8

Worksheet time: 40mins

Name
Class
Date
1.
What is an antiderivative?
a)
The opposite of a derivative
b)
The same as a derivative
c)
A second derivative
d)
It always represents velocity.
2.
What does C represent in an antiderivative?
a)
A variable
b)
A constant
c)
None of these
d)
Unknown
3.
∫(4 - 18x)dx
a)
F(x) = -18
b)
F(x) = 4x - 9x2
c)
F(x) = 4x - 9x+ C
d)
F(x) = (4 - 18x)2 /2 + C
4.
∫(3x⁴+2)⁴(12x³)dx
a)
½(3x⁴+2)⁴+C
b)
(3x⁴+2)⁴+C
c)
⅕(3x⁴+2)⁵+C
d)
⅓(3x⁴+2)⁶+C
5.

Integrate 3 dx\int_{ }^{ }3\ dx  

a)

= 0

b)

=3x+c=\frac{3}{x}+c  

c)

= 3x +c=\ 3x\ +c  

d)

=4+c=4+c  

6.

12xdx\int_{ }^{ }\frac{\text{1}}{\text{2x}}dx  

a)

=ln2x+c=\ln2x+c  

b)

=2 ln2x+c=2\ \ln2x+c  

c)

=12ln2x+c=\frac{1}{2}\ln2x+c  

d)

=1ln2x+c=\frac{1}{\ln2x}+c  

7.

e5xdx =\int_{ }^{ }e^{5x}dx\ =  

a)

e5x+ce^{5x}+c  

b)

5e5x+c5e^{5x}+c  

c)

15e5x+c\frac{1}{5}e^{5x}+c  

d)

none of these

8.

 2x+3dx=\int\ \frac{2}{x+3}dx^{ }=  

a)

2ln|x+3| 

b)

2ln(x + 3) + c

c)

12lnx + 3 + c\frac{1}{2}\ln\left|x\ +\ 3\right|\ +\ c  

d)

none of these