November 4th, 2017, 01:50 PM  #1 
Member Joined: Dec 2015 From: England Posts: 30 Thanks: 0  double integration
Please could someone help me with part one as I have tried to do it via integration by parts but am getting nowhere

November 4th, 2017, 02:33 PM  #2 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,042 Thanks: 815 Math Focus: Wibbly wobbly timeywimey stuff. 
Sorry, but I can't quite make out the integrand. Is it supposed to be $\displaystyle \int _0^1 \int _{2y^{3/2}}^{2y} \frac{y^2}{x^2} e^{(x  2)^2 /2} ~ dx~dy$ The x integration is supposed to come first but I don't think it has an exact form. So what I would do is to switch the integration to dy dx. I'll leave the process of changing the integration limits to you. I have included the graph that will help. Can you finish from here? Dan 

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