Friday, 8 December 2017

calculus - Integral: $int_{-infty}^{infty} x^2 e^{-x^2}mathrm dx$

I don't know how to evaluate it. I know there is one method using the gamma function. BUT I want to know the solution using a calculus method like polar coordinates.



$$\int_{-\infty}^\infty x^2 e^{-x^2}\mathrm dx$$



I will wait for a solution. Thank you.

No comments:

Post a Comment

real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...