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Question: How to calculate with Maple

Question:How to calculate with Maple

Markiyan Hirnyk 7759 Maple
integral
October 08 2010
0

the integral int(1/(1-2*r*cos(x)+r^2)^p,x=0..Pi/4), where 0<r<1 and p>1/2, or to find its asymptotics in r as r->1-?     

Thanks in advance.
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