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

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- Jul 9th 2007, 11:03 AMemily28similar to gamma function
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 - Jul 9th 2007, 03:58 PMgalactus
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. - Jul 9th 2007, 07:05 PMThePerfectHacker
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,

- Jul 9th 2007, 07:19 PMThePerfectHacker
Galactus' approach is not completely way off. He arrives at the integral,

Which is discussed here.