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$$\int_{-2}^{2} \frac{x^2}{(1+5^x)}dx$$ I tried taking the substitution of $$1+5^x = u$$ in hope i will get product of two functions which can be integrated by parts but it turns out to be a very complicated function. Is it possible to integrate it using some property of definite integral?

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marked as duplicate by Hans Lundmark, Community Mar 14 '16 at 18:27

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    $\begingroup$ Do $y=-x$, add the two integrals you have, see the magic happen. $\endgroup$ – mickep Mar 14 '16 at 18:14
  • $\begingroup$ Unfortunately $\int\frac{x^2}{1+5^x}dx$ is not an elementary function $\endgroup$ – cpiegore Mar 14 '16 at 18:18
  • $\begingroup$ i am stil unable to solve after adding can mickep please elaborate $\endgroup$ – Matt Mar 14 '16 at 18:20
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    $\begingroup$ This question was asked earlier today... $\endgroup$ – Hans Lundmark Mar 14 '16 at 18:24