Wednesday, August 14, 2019

calculus - Showing that intinftyinftyexp(x2),mathrmdx=sqrtpi






The primitive of f(x)=exp(x2) has no analytical expression, even so, it is possible to evaluate f(x) along the whole real line with a few tricks. How can one show that exp(x2)dx=π ?


Answer



Such an integral is called a Gaussian Integral


This link should help you out.


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