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.Com
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(52792)   (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


RELATED QUESTIONS

Provide an example of functions f(x) and g(x) with the limit as x approaches infinity of... (answered by richard1234)
Use the Squeeze Theorem to evaluate the limit as x approaches infinity (sinx)/x (answered by Fombitz)
Please help me with this problem: Evaluate the following limit: Limit of {{{(x +... (answered by Natolino1983)
Find the limit of the function (π^x - 1)/sqrt(x) where x approaches to... (answered by MathLover1)
Let f(x) = ln(1+x^2). Find the limit as x approaches infinity for f(x), df/dx and... (answered by robertb)
how to get the upper limit of the last class if adding class width to the lower limit of... (answered by stanbon)
Suppose the average value of f(x) on the interval [3,6] is 50. Calculate the integral (answered by ikleyn)
Find the limit of the function algebraically. (6 points) limit as x approaches zero of... (answered by MathLover1)
Select the correct upper limit, lower limit, and the range of tolerance for the... (answered by rapaljer)