Given the following integral I(n) = f₁₁(1-2)" dr. We want to ultimately show that 22n+1 (n!)2 I(n) = (2n+1)! 1. Use I(n) = √1₁(1 - x²)"dx to evaluate: 1.1 I(1) 1.2 I(2)
Given the following integral I(n) = f₁₁(1-2)" dr. We want to ultimately show that 22n+1 (n!)2 I(n) = (2n+1)! 1. Use I(n) = √1₁(1 - x²)"dx to evaluate: 1.1 I(1) 1.2 I(2)
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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Transcribed Image Text:Given the following integral I(n) = 1₁(1-2)" dx. We want to ultimately
show that
22n+1 (n!)2
I(n) =
(2n+1)!
1. Use I(n) = √1₁(1 - x²)" dx to evaluate:
1.1 I(1)
1.2 I(2)
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