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(Solved): (a) Prove that \Gamma (m)I^(2)(m+(1)/(2))=(\sqrt(\pi ))/(2^(2m-1))\Gamma (2m). (b) Change the order ...



(a) Prove that

\Gamma (m)I^(2)(m+(1)/(2))=(\sqrt(\pi ))/(2^(2m-1))\Gamma (2m)

. (b) Change the order of integration and then evaluate

\int_a^a \int_(a-\sqrt(a^(2)-y^(2)))^(a+\sqrt(a^(2)-y^(2))) xydxdy


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