How to evaluate an integral with gamma function?

In this video, I am evaluating an interesting but challenging integral with a gamma function with three different techniques - integration by parts, digamma function, and Sterling's approximation. With these three skills, we get a nice close form as a solution.
Thanks for the suggestion ‪@chrisjuravich3398‬
#integral #calculus #gammafunction

[@MrGLA-zs8xt]

Wooo, integral with gamma function? Never heard of it before lol... you are the best professor

[@pkqualitymath1234]

Thanks a lot my friend for your support👍👍👍

[@chrisjuravich3398]

Very nice 😊
Creative approach to the interesting integral.
Thank you 🙏

[@pkqualitymath1234]

Thanks a lot Chris for suggesting such an interesting integral👍👍👍

[@chrisjuravich3398]

@@pkqualitymath1234 thank you for excepting the challenge!

[@iqtrainer]

The king of integral prof🎉

[@pkqualitymath1234]

Haha thanks my man👍👍👍

[@domedebali632]

Omg, this is too hard for me. Searched those two techniques you used for a while

[@pkqualitymath1234]

Ohh thanks for your comment my friend haha👍👍👍

[@sukonthis]

I guess im ready for advance integral XD

[@tungcaveusd]

No guessing. Yes or no.

[@domedebali632]

@@tungcaveusd HAHA YOU GOT HIM

[@sukonthis]

@@tungcaveusd I answered 10 questions about Gamma and Beta Functions, and got 5 mistakes . So its a No

[@pkqualitymath1234]

Oh haha👍👍👍