3. (a) Evaluate the following with the trigonometric form of Beta functions(Give your answer in terms of a) pesp(=/2) sin® (2 In (x)) cos* (In (x)) 1, (b) Evaluate with the help of Gamma functions (use the concept of even integrals and give your answer in terms of 7)(k > 0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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3. (a) Evaluate the following with the trigonometric form of Beta functions(Give
your answer in terms of 7)
rexp(#/2)
e/2) sin° (2 In (x)) cos* (In (x)).
da
(b) Evaluate with the help of Gamma functions (use the concept of even
integrals and give your answer in terms of 7)(k> 0)
e-ku dy
Transcribed Image Text:3. (a) Evaluate the following with the trigonometric form of Beta functions(Give your answer in terms of 7) rexp(#/2) e/2) sin° (2 In (x)) cos* (In (x)). da (b) Evaluate with the help of Gamma functions (use the concept of even integrals and give your answer in terms of 7)(k> 0) e-ku dy
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