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OPTIONAL- Indefinite Integrals Quiz

Total questions: 14

Worksheet time: 15mins

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)

Unknown

c)

A constant

d)

None of these

3.
∫ t⁶ dt
a)
6t⁵
b)
6t⁵ + C
c)
1/7 t⁷ + C
d)
t⁷ + C
4.
∫ 4 dx
a)
0
b)
4t + C
c)
4x + C
d)
2x2 + C
5.

Evaluate the indefinite integral.

a)

A

b)

B

c)

C

d)

D

6.

Evaluate the indefinite integral.

a)

A

b)

B

c)

C

d)

D

7.

Evaluate the indefinite integral.

a)

A

b)

B

c)

C

d)

D

8.
a)
-(24/4)x4+C
b)
-4x6+C
c)
-4x5+C
d)
-24x6+C
9.

 (4x33x22)dx ,    if f(2)=5\int\left(4x^3-3x^2-2\right)dx\ ,\ \ \ \ if\ f\left(2\right)=5  

a)

 12x26x12x^2-6x  

b)

 x4x32x +cx^4-x^3-2x\ +c  

c)

 x4x32x+5x^4-x^3-2x+5  

d)

 x4x32x+1x^4-x^3-2x+1  

10.

Find the antiderivative of: x  dx\int_{ }^{ }\sqrt{x}\ \ dx   

a)

 1x+c\frac{1}{\sqrt{x}}+c  

b)

 32x32+c\frac{3}{2}x^{\frac{3}{2}}+c  

c)

 12 x32+c\frac{1}{2\ }x^{\frac{3}{2}}+c  

d)

 23x32+c\frac{2}{3}x^{\frac{3}{2}}+c  

11.

 (2x1)2dx\int_{ }^{ }\left(2x-1\right)^2dx  

a)

 4x332x2+x+c\frac{4x^3}{3}-2x^2+x+c  

b)

 43x3x2+x+c\frac{4}{3}x^3-x^2+x+c  

c)

 (x2x)2+c\left(x^2-x\right)^2+c  

d)

 (2x1)33+c\frac{\left(2x-1\right)^3}{3}+c  

12.
a)

-sec x + C

b)

sec x + C

c)

tan x + C

d)

tan2 x + C

13.
∫ 6 x (x2 +1 )2 dx
a)
( x2 + 1)3 + C
b)
3 ( x2 + 1)3 + C
c)
( x2 + 1)1 + C
d)
6 ( x2 + 1)3 + C
14.
a)
ln(2x2+6) + C
b)
ln(2x2+6)(4x) + C
c)
1/(2x2+6) + C
d)
1/(2x2+6)+ C