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.