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(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`