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