November 11th, 2017, 09:42 AM  #1 
Newbie Joined: Nov 2017 From: Mars Posts: 1 Thanks: 0  Integral problem
Hello people! I was given the following problem: "Find the integral of (x^2+1)*e^((x^2)/2)" I already know the solution (x*e^((x^2)/2)), because [f(x)g(x)]'=f'(x)g(x) + f(x)g'(x) where f(x)=e^((x^2)/2) and g(x)=x. But I was wondering if there is a "nice" method that leads to solution. I tried integrating by parts and some substitutions but I was unable to find the solution that way. Thanks for reading and have a nice day. 
November 11th, 2017, 10:20 AM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,659 Thanks: 652 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
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