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U-Substitution Integration

Total questions: 10

Worksheet time: 18mins

Name
Class
Date
1.
What should "du" equal in this integral?
a)
tanxsecx dx
b)
secx dx
c)
sec2x dx
d)
tanx dx
2.
∫ 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
3.

∫ 2x cos(x2) dx

a)

sin(x2) + C

b)

2 sin ( 2x ) + C

c)

(1/2) sin(x2) + C

d)

4 cos(2x ) + C

4.
∫5 e5x dx
a)
25 e5x + C 
b)
5 e5x - 1 + C 
c)
e5x +  C 
d)
(1/5) e5x + C 
5.
What should "u" equal in this integral?
a)
x
b)
(lnx)/x
c)
lnx
d)
sin(lnx)
6.
a)
A
b)
B
c)
C
d)
D
7.
What should "du" equal in this integral?
a)
tanxsecx dx
b)
secx dx
c)
sec2x dx
d)
tanx dx
8.
a)
ln(2x2+6) + C
b)
ln(2x2+6)(4x) + C
c)
1/(2x2+6) + C
d)
1/(2x2+6)+ C
9.
a)
A
b)
B
c)
C
d)
D
10.
a)
1/3
b)
8/3
c)
16/3
d)
24/3