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Question: How to find the double integral with Maple?

Question:How to find the double integral with Maple?

Markiyan Hirnyk 7759 Maple
June 10 2013
0

How to find the integral

1/(4*Pi)*int((cos(t)-sin(s)-cos(t)*sin(s))/(3+2*(cos(t) - sin(s) - cos(t)*sin(s)))^(3/2),[t=0..2*Pi,s=0..2*Pi])?

Its geometric interpretation suggests the answer is -1. Maple finds the inner integrals both over t and s, but Maple cannot directly find the iterated integrals.
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