SOLUTION: Evaluate the integral by gamma function method with lower limit equal to zero and upper limit approaches to infinity for the given function: (a) x.e^-(x^2) (b) e^-(x^2)

Algebra ->  Probability-and-statistics -> SOLUTION: Evaluate the integral by gamma function method with lower limit equal to zero and upper limit approaches to infinity for the given function: (a) x.e^-(x^2) (b) e^-(x^2)      Log On


   



Question 1151442: Evaluate the integral by gamma function method with lower limit equal to zero
and upper limit approaches to infinity for the given function:
(a) x.e^-(x^2)
(b) e^-(x^2)

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

Look into any standard Calculus textbook and find the solution there.


    Why we should re-write from textbooks for you ?




If you suffer allergy looking into Calculus textbooks, then use these links


    for (a)  https://www.quora.com/What-is-the-integration-of-xe-x-2-dx-from-x-0-to-infinity


    for (b)  https://math.stackexchange.com/questions/9286/proving-int-0-infty-mathrme-x2-dx-frac-sqrt-pi2