Question: 45. Show that (1/2) = (Hint: Evaluate 0 e xx 1/2 dx by letting x = y2/2, dx = y dy.)

45. Show that (1/2) =

√

π (Hint: Evaluate

 ∞

0 e

−xx

−1/2 dx by letting x =

y2/2, dx = y dy.)

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