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Integration

Total questions: 15

Worksheet time: 51mins

Name
Class
Date
1.

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  

2.

Integrate x6dx\int_{ }^{ }x^6dx  

a)

=6x5+c=6x^5+c  

b)

=x77+c=\frac{x^7}{7}+c  

c)

=6x6+c=6x^6+c  

d)

=x56+c=\frac{x^5}{6}+c  

3.

Integrate (x2+7)dx\int_{ }^{ }\left(x^2+7\right)dx  

a)

=2x+c=2x+c  

b)

=x3+7x=x^3+7x  

c)

=12x3+7x=\frac{1}{2}x^3+7x  

d)

=13x3+7x+c=\frac{1}{3}x^3+7x+c  

4.

6x(x+2)dx\int6x\left(x+2\right)dx  

a)

6x2+12x+C6x^2+12x+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

3x2+6x+C3x^2+6x+C  

d)

2x3+6x2+C2x^3+6x^2+C

5.

5x4dx\int5x^4dx  

a)

x5x^5  

b)

54x5+C\frac{5}{4}x^5+C  

c)

x5+Cx^5+C  

d)

20x320x^3  + C

6.

(x22x)dx\int\left(x^2-2x\right)dx  

a)

13x3x2+C\frac{1}{3}x^3-x^2+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

2x22x-2  

d)

13x3x2\frac{1}{3}x^3-x^2

7.

(6x1)dx\int\left(6\sqrt{x}-1\right)dx  

a)

6x32+x+C6x^{\frac{3}{2}}+x+C  

b)

4x32x+C4x^{\frac{3}{2}}-x+C  

c)

3x12x+C3x^{-\frac{1}{2}}-x+C  

d)

I didn't look at my notes to see how to do this one.

8.

(5x27x+6)dx\int\left(5x^2-7x+6\right)dx  

a)

53x72x+6x+C\frac{5}{3}x-\frac{7}{2}x+6x+C  

b)

x+x+x+x+x+Cx+x+x+x+x+C  

c)

x33x2+6x+Cx^3-3x^2+6x+C  

d)

53x372x2+6x+C\frac{5}{3}x^3-\frac{7}{2}x^2+6x+C  

9.
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.
10.
What does C represent in an antiderivative?
a)
A variable
b)
A constant
c)
None of these
d)
Unknown
11.

Integrate x13dx\int_{ }^{ }x^{\frac{1}{3}}dx  

a)

=43x43+c=\frac{4}{3}x^{\frac{4}{3}}+c  

b)

=32x23+c=\frac{3}{2}x^{\frac{2}{3}}+c  

c)

=13x23+c=\frac{1}{3}x^{-\frac{2}{3}}+c  

d)

=34x43+c=\frac{3}{4}x^{\frac{4}{3}}+c  

12.
∫(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
13.
∫ 4 dx
a)
0
b)
4t + C
c)
4x + C
d)
2x2 + C
14.
∫ x(x2 - 4) dx
a)
x2/2(x3/3 - 4x) + C
b)
.25x4 -2x+ C
c)
3x2- 4 + C
d)
x4 - 4x+ C
15.
Find the antiderivative of
x2
a)
(1/3)x3+C
b)
x3
c)
(1/3)x3
d)
2x