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Integral help

by fderingoz
Tags: integral
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fderingoz
#1
Nov6-10, 03:13 PM
P: 12
we know that [tex]\int_{|y-z|}^{y+z}D(y,z,w)\frac{w^{2m+1}}{2^m\Gamma(m+1)}dw=1
[/tex]
how can we calculate the integral
[tex]\int_{|y-z|}^{y+z}(1+2^kw)^aD(y,z,w)\frac{w^{2m+1}}{2^m\Gamma(m+1)}dw[/tex]
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Whitishcube
#2
Nov6-10, 08:00 PM
P: 83
just a shot in the dark, but maybe integration by parts. if you can somehow make the first part of that integral disappear, you can finish it off.
physeven
#3
Nov15-10, 06:05 AM
P: 24
integration by parts would be a method to use but the problem would be integrating the (1+2^kw)^a part but if you choose u(x) and v(x) appropriately you will solve the problem since you already know that the first integral with the same limits does equal 1.


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