How do you find the antiderivative of a power series?

1 Answer
Oct 19, 2014

If sum_{n=0}^infty c_n x^n is a power series, then its general antiderivative is

intsum_{n=0}^infty c_n x^n dx=sum_{n=0}^infty c_n/{n+1}x^{n+1}+C.

(Note that integration can be done term by term.)


I hope that this was helpful.