By making the change of variables t = x? in the integral that defines the gamma function, show that Г(1/2) — 2 e*dx. O Use your result from (a) to show that [T(1/2)]? = 4 e 0,
By making the change of variables t = x? in the integral that defines the gamma function, show that Г(1/2) — 2 e*dx. O Use your result from (a) to show that [T(1/2)]? = 4 e 0,
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![By making the change of variables t = x? in the
integral that defines the gamma function, show
that
Г(1/2) — 2
e*dx.
O Use your result from (a) to show that
[T(1/2)]? = 4
e
0,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac905c84-e770-4b5b-a67a-0cfc6dac8e02%2F871f02ee-e7df-4e5f-bc0f-5d6ff2e71adc%2Fqal54i7.jpeg&w=3840&q=75)
Transcribed Image Text:By making the change of variables t = x? in the
integral that defines the gamma function, show
that
Г(1/2) — 2
e*dx.
O Use your result from (a) to show that
[T(1/2)]? = 4
e
0,
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