Evaluate: ∫ {f(ax+b)}ⁿ · f'(ax+b) dx, n ≠ -1.

Let $f(ax+b) = t \Rightarrow f'(ax+b) \cdot a\,dx = dt$ $I = \int t^n \cdot \frac{dt}{a} = \frac{1}{a(n+1)}\left(f(ax+b)\right)^{n+1} + c,\ n \neq -1$