Integration By Parts - Worksheet 5.4
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4Calculus Maximus
WS 5.4: Integration by Parts
Name_________________________________________ Date________________________ Period______
Worksheet 5.4—Integration by Parts
Show all work. No calculator unless stated.
Multiple Choice
h x
2
1. If
x
cos
xdx
h x
2 sin
x
xdx
, then
2
2
(A) 2sin
x
2 cos
x
x C
(B)
x
sin
x C
(C)
2 cos
x
x x
sin
x C
2
(D) 4cos
(E)
2
x
cos
x
4sin
x C
x
2 sin
x
x C
2.
x
sin 5
x dx
=
x
1
x
1
(A)
x
cos 5
x
sin 5
x
C
(B)
cos 5
x
sin 5
x
C
(C)
cos 5
x
sin 5
x
C
5
25
5
5
x
1
(D)
cos 5
x
sin 5
x
C
(E)
5 cos 5
x
x
sin 5
x
C
5
25
xdx
2
3.
x
csc
3
x
csc
x
(A)
C
(B) cot
x
x
ln sin
x
C
(C)
x
cot
x
ln sin
x
C
6
2
x
cot
x
ln sin
x
C
(D)
(E)
x
sec
x
tan
x C
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