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WorksheetsIntegration Review 2
Total questions: 18
Worksheet time: 2hrs 53mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
D
d)
E
3.
A vehicle is moving at a velocity given by the equation v = 5(x3+4)/8, find the position at x = 4 if when x = 2, p = 25/2
a)
55
b)
66
c)
75
d)
14
4.
Find the equation for the velocity of an object whose acceleration is equal to 4x+14.
a)
2x2 + 14x + C
b)
4 + C
c)
2x3/3+7x2
d)
2x3/3+7x2+C
5.
Find the integral of (x2+3x)(2x+3)dx
a)
2x3 +9x2+9x + C
b)
(x2+3x)2/2 + C
c)
6x2+18x+9 + C
d)
ln(x2+3x) + C
6.
Find the anti-derivative of sec2(4x)dx
a)
-1/4tan(4x) + C
b)
8sec2(4x)tan(4x) + C
c)
8sec2(4x) + C
d)
tan(4x)/4 + C
7.
What is the integral of sinx
a)
cosx
b)
-cosx
c)
cosx + C
d)
-cosx + C
8.
What is the integral of csc²x?
a)
-cotx + C
b)
cotx + C
c)
cosx + C
d)
-cosx + C
9.
What is the integral of cosx?
a)
-sinx
b)
sinx
c)
-sinx + C
d)
sinx + C
10.
What is the integral of sec²x?
a)
tanx
b)
tanx + C
c)
secxtanx + C
d)
secxtanx
11.
What is the integral of secxtanx?
a)
tanx + C
b)
secx + C
c)
sec²x + C
d)
tan²x + C
12.
What is the integral of k if k is a constant?
a)
k²/2 + C
b)
kx + C
c)
kx
d)
k²/2
13.
Evaluate the Definite Integral
a)
8π
b)
16π
c)
4π
d)
2π
14.
a)
(x11 ⁄ 11) - 1
b)
(x10) - 1
c)
x10
d)
t11 ∕ 11
15.
a)
sec(x)tan(x)-sec(-2017)tan(-2017)
b)
sec(x)-sec(-2017)
c)
sec(x)
d)
sec(x)tan(x)
16.
a)
1 ⁄ (1+x3)
b)
(3x2) ⁄ (1+x3)
c)
x3 ⁄ (1+x3)
d)
HELP
17.
a)
(1+sin2(x))1/3
b)
-cos(x)(1+sin2(x))1/3
c)
cos(x)(1+sin2(x))1/3
d)
sin(x)(1+sin2(x))1/3
18.
Integrate
a)
19 ⁄ 6
b)
-19 ∕ 6
c)
-37 ∕ 6
d)
37 ⁄ 6
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