How to find $${\int_{0}}^1 (1+e^{-x^2})dx$$
How do I integrate $e^{-x^2}$ it can't be done by parts.
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1See if http://math.stackexchange.com/questions/60045/showing-that-int-limits-aa-fracfx1ex-mathrm-dx-int-limits-0 is helpful – Lemon Aug 09 '13 at 07:24
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$e^{-x^2}$ cannot be integrated in terms of elementary functions, so a numerical approach is suggested. Alternatively, consider the error function.
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Another alternative is to use the series expansion of $e^{-x^2}$ and to integrate term by term. – MBYagbasan Nov 21 '14 at 17:48