How do you find the antiderivative of a power series?

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1 Answer
Wataru
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.

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