Integral help

fderingoz

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]

Whitishcube

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

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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fderingoz	Integral help 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]

Whitishcube	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	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.