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Worksheet 7.2 - Integration by PartsFebruary 8th, 2013
!u dv = uv −
!v du
! b
a
u dv = uv""ba−! b
a
v du
1.
!x cos 2x dx
2.
!sin−1 x dx
1
3.
!e3x cos 2x dx
4.
! 2
0
xe2x; dx
2
5.
! e
1
x2 ln x dx
6.
!(ln x)2 ; dx
3
7.
!e√x dx Hint: Make a t-substitution first, and then use integration by parts.
8.
!sin (lnx) dx
4