# How do you find the integral of int sec^n(x) if m or n is an integer?

$\int {\sec}^{n} \mathrm{dx} = \frac{{\sec}^{n - 1} \sin x}{n - 1} + \frac{n - 2}{n - 1} \int {\sec}^{n - 2} \mathrm{dx}$