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April 17th, 2015, 02:27 AM   #1
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double integral from my exam

Hello everyone!
I just have an exam with some integral and I still have no idea how to solve it.
$\displaystyle (1/(x+1)^(2/3)+x)*y*exp(y)*dx*dy/(2*(3*(pi/2+1)^(2/3) + (pi/2)^2 - 3*(arcsin(y)+1)^(2/3) - arcsin(y)^2))$

It's limited by y=0, y = sin(x) x = 0, x = pi/2

The picture:

I'm on the worst faculty on my university (shipbuilding), so please do not laugh

Any ideas?

Last edited by wladekarek; April 17th, 2015 at 02:44 AM. Reason: picture of this thread might be better than code
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April 17th, 2015, 04:26 AM   #2
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Well, I would switch the order of integration first, then try some substitutions.
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April 17th, 2015, 05:55 AM   #3
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Right!
I gave it to my friend from electronic and telecommunication (the hardest faculty in our city) and after integration over x we have just:

(y exp(y))/4 from 0 to 1 over y.

Thanks a lot!
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