Question

inrigral x7
$dx x7$

Answer 1

How should I proceed about this integral?

∫1/(x7−x)dx∫1/(x7−x)dx

I've tried integration by parts or substitution but I can't seem to solve it. Can I have some hints on how should I get started?

These are some of the things I've tried:

IBP: u=1x6−1u=1x6−1, du=−5x6x6−1du=−5x6x6−1, dv=1xdxdv=1xdx, v=ln|x|