\(\displaystyle \int\frac{ (\sin^n \theta - \sin\theta)^{1/n} \cos\theta}{\sin^{n+1}\theta} d\theta\)

Now, if I make a substitution of \(\displaystyle u = \sin\theta\) then, the integral would look like this

\(\displaystyle \int \frac{(u^n -u)^{1/n}}{u^{n+1}}du\) . No matter what substitution I make the problem is the thing inside of that \(\displaystyle 1/n \) power. So, can you please tell me how to write \(\displaystyle x^n -x\) in form of something else.