Question: Problem 4.53 (a) Show that (1/2) = by making the change of variables x = u2/2 in the integral (1/2) = 0 x1/2ex

Problem 4.53

(a) Show that Γ(1/2) = √π by making the change of variables x = u2/2 in the integral Γ(1/2) = ∞ 0 x−1/2e−x dx.

(b) Using the result of part

(a) compute Γ(3/2), Γ(5/2).

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