Here are some more examples of integration by parts courtesy of the face-to-face class.
Example 1
$latex displaystyle int{left( 2t-1 right)ln left( t right)dt}$
Example 2
$latex displaystyle int{{{x}^{4}}ln left( x right)dx}$
Example 3
$latex displaystyle int{ln left( 2x right)dx}$
Example 4
$latex displaystyle int{left( 5z-4 right)ln left( z right)dz}$
Example 5
$latex displaystyle int{{{x}^{3}}ln left( x right)dx}$
Example 6
$latex displaystyle int{{{x}^{2}}ln left( x right)dx}$
Example 7
$latex displaystyle int{ln left( 3z right)dz}$
