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Integral of x^2e^(x^2) 
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#1
Apr1612, 12:56 PM

P: 6

1. The problem statement, all variables and given/known data
Use the fact that the integral evaluated from ∞ to +∞ of e^(x^2) is sqrt(∏) to evaluate the integral from ∞ to +∞ of x^2(e^(x^2)). 2. Relevant equations 3. The attempt at a solution I tried using integration by parts and I came down to an indefinite integral of sqrt(∏)*x^2. I know the answer is sqrt(∏)/2 but I don't see how. Can someone tell me what im doing wrong please. 


#2
Apr1612, 02:41 PM

P: 392

That doesn't seem right. Try doing integration by parts by setting [itex]u = x \text{ and } dv=xe^{x^2}dx[/itex]. 


#3
Apr1612, 02:48 PM

P: 6

Thanks I got the answer using that method



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