# How do you find the antiderivative of a power series?

If ${\sum}_{n = 0}^{\infty} {c}_{n} {x}^{n}$ is a power series, then its general antiderivative is
$\int {\sum}_{n = 0}^{\infty} {c}_{n} {x}^{n} \mathrm{dx} = {\sum}_{n = 0}^{\infty} {c}_{n} / \left\{n + 1\right\} {x}^{n + 1} + C$.