How would i prove this integral for all integrals m,n >0
Follow Math Help Forum on Facebook and Google+
If integers, I would think by induction.
for all integers m,n greater or equal to 0
Proof: by induction Show P(1) is true Assume P(k) is true Prove P(k+1) is true.
Originally Posted by Monster32432421 How would i prove this integral for all integrals m,n >0 Use repeated integration by parts: Then . . . . Substitute and it's left for you to finish.
Since is a Beta function with Also, therefore, you can write: , which is a beta function Now finish it off!
Last edited by harish21; Nov 6th 2010 at 10:45 PM.
Originally Posted by harish21 Since is a Beta function with Also, therefore, you can write: , which is a beta function Now finish it off! I don't think that quoting, more or less, a standard result constitutes a proof in the sense that the OP has requested.
View Tag Cloud