The function B(, ) is defined by B(, ) = " 1 0 y1 (1 y) 1 dy. a Letting y = sin2 , show
Chapter 4, Problem 4.197(choose chapter or problem)
The function B(, ) is defined by B(, ) = " 1 0 y1 (1 y) 1 dy. a Letting y = sin2 , show that B(, ) = 2 " /2 0 sin21 cos21 d. b Write ()() as a double integral, transform to polar coordinates, and conclude that B(, ) = ()() ( + ) .
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