ive got this question in for tomorrow and i have no idea whatsoever how to attempt it
evaluate the following intergral. your final answer should not contain the gamma function.
maths 6.JPG
thank you
ive got this question in for tomorrow and i have no idea whatsoever how to attempt it
evaluate the following intergral. your final answer should not contain the gamma function.
maths 6.JPG
thank you
Since you can't use gamma, you could try rewriting and making a substitution.
Let
Making the subs gives:
Now, let
Make the subs and you get:
Now, you can use the reduction formulas:
Just a thought. It ain't pretty no matter how you look at it.
This can be achieved with the Beta Integral.
We can write this as,
Let thus,
Use the Beta Integral and get,
Converte to Gamma Function,
But,
Thus, using reduction identity for Gamma functions,
And,
And,
Thus,