(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve the integral of x^{2}sin(x) / (1+x^{6}) from -pi/2 to pi/2.

2. Relevant equations

none

3. The attempt at a solution

Well Im supposed to do this using the substitution method, so I tried:

u = x^{2}

du = 2x dx which doesn't cancel out any terms

u = 1+x^{6}

du = 6x^{5}dx which again doesn't cancel anything out

u = sin(x)

du = cox(x) dx useless also

Is this possible with substitution? I seem to have tried every option for u. Is there another way to do this? (without taylor series and stuff like that)

Thanks for the help!

Also, I tried doing this integral on the computer, and it said it cannot be solved because it is probably a "non-elementary integral", hence the title of the thread.

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# Homework Help: Non-elementary Integral?

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