The function B(a, B) is defined by a-'(1 – y)"-'dy. (a) Letting y = sin² 0 show that B(a, B) = 2 fo/2 sin² 2a-1 cos-1 d0. (b) Write r(a)r(B) as a double integral, transform to polar coordinates, and conclude that B(a, ß) Га+)

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