3. Evaluate the following in terms of Gamma function [Hint: Evaluate the func- tion in terms of Beta function then convert it to Gamma using the appropriate formula; Apply the method that was taught in buX video lecture and consul- tation recording to solve this problem]: [²(₁-1)³ da 4. Evaluate the following integral by trigonometric substitution [Apply the method that was taught in buX video lecture and consultation recording to solve this problem]: 1 S =dx x²√x² +25

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
3. Evaluate the following in terms of Gamma function [Hint: Evaluate the func-
tion in terms of Beta function then convert it to Gamma using the appropriate
formula; Apply the method that was taught in buX video lecture and consul-
tation recording to solve this problem]:
(1
4. Evaluate the following integral by trigonometric substitution [Apply the method
that was taught in buX video lecture and consultation recording to solve this
problem]:
1
dx
x²Vx² + 25
Transcribed Image Text:3. Evaluate the following in terms of Gamma function [Hint: Evaluate the func- tion in terms of Beta function then convert it to Gamma using the appropriate formula; Apply the method that was taught in buX video lecture and consul- tation recording to solve this problem]: (1 4. Evaluate the following integral by trigonometric substitution [Apply the method that was taught in buX video lecture and consultation recording to solve this problem]: 1 dx x²Vx² + 25
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