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)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 3YT
icon
Related questions
Question
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)
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)
Expert Solution
steps

Step by step

Solved in 4 steps with 10 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning