# What is the antiderivative of n^x?

$\int {n}^{x} \mathrm{dx} = \int {e}^{\left(\ln n\right) x} \mathrm{dx} = {e}^{\left(\ln n\right) x} / \left\{\ln n\right\} + C = {n}^{x} / \left\{\ln n\right\} + C$