Integral of $$$\left(a^{2} - x^{2}\right)^{- n}$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$\left(a^{2} - x^{2}\right)^{- n}$$$ with respect to $$$x$$$, with steps shown.

Find $$$\int \left(a^{2} - x^{2}\right)^{- n}\, dx$$$.