My Math Forum double integral from my exam

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 April 17th, 2015, 02:27 AM #1 Newbie   Joined: Apr 2015 From: GdaÅ„sk Posts: 4 Thanks: 0 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
 April 17th, 2015, 04:26 AM #2 Senior Member   Joined: Aug 2014 From: United States Posts: 137 Thanks: 21 Math Focus: Learning Well, I would switch the order of integration first, then try some substitutions.
 April 17th, 2015, 05:55 AM #3 Newbie   Joined: Apr 2015 From: GdaÅ„sk Posts: 4 Thanks: 0 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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