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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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