Question

How do you find the antiderivative of a power series?

Answer 1

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.)

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I hope that this was helpful.