How to evaluate integral using power series? – math.stackexchange.com

How to evaluate integral using power series? – math.stackexchange.com

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I'm trying to evaluate $$\int_0^1 e^{-x^2} \, dx$$ using power series. I know I can substitute $x^2$ for $x$ in the power series for $e^x$: $$1-x^2+ \frac{x^4}{2}-\frac{x^6}{6}+ \cdots$$ and when ...

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