(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