Would this be correct? I'm not sure if the negative in front of the integral should effect the + C.

$\displaystyle \int cot^4xcsc^2x$ $\displaystyle u=cotx$ $\displaystyle -du=csc^2xdx$

$\displaystyle -\int U^4du $

$\displaystyle -[\frac{1}{5}u^5 + C]$

$\displaystyle -\frac{1}{5}cot^5x - C $