Question

integrate: x^3/(x-1)(x-2)​

Answer 1

∫x3x+1dx∫x3x+1dx

=∫x3+1−1x+1dx=∫x3+1−1x+1dx

=∫x3+1x+1dx−∫1x+1dx=∫x3+1x+1dx−∫1x+1dx

=∫(x2+1−x)dx−∫1x+1dx=∫(x2+1−x)dx−∫1x+1dx

=x33+x−x22+ln(x+1)+C