How to calculate approximation $I = \int_{-1}^{1} e^{-x^{2}} $ by developing integrant into power series, and how many terms of series is needed, so error is smaller than $\varepsilon = 10^{-3}$ ?
How to calculate approximation $I = \int_{-1}^{1} e^{-x^{2}} $ by developing integrant into power series?
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definite-integrals
power-series
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1You seem to know what to do...so what exactly is the problem? – 2017-01-10
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0First of all, it is symmetric. And secondly, you know how to take a power series of $e^y$. – 2017-01-10