(a) Using the definition of the gamma function in Exercise 10.3.14, show that (x)=2 0
Chapter 10, Problem 10.3.15(choose chapter or problem)
(a) Using the definition of the gamma function in Exercise 10.3.14, show that (x)=2 0 u2x1e u2 du. (b) Using double integrals in polar coordinates, show that (z)(1 z) = sin z . [Hint: It is known from complex variables that 2 /2 0 (tan ) 2z1 d = sin z . *
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