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