Integral help

  • Thread starter fderingoz
  • Start date
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]
 
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.
 
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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