Recall that I(n) = (1 - x²)"dr. == 2.1 Substitute x = sin(t) in I(n) and show that I(n) can be written as I(n) = √12 π/2 (cos(t))2n+1dt -π/2 2.2 Now that we have I(n) = f(cos(t))2n+1dt. What is I(n - 1)? Leave your answer in integral form.
Recall that I(n) = (1 - x²)"dr. == 2.1 Substitute x = sin(t) in I(n) and show that I(n) can be written as I(n) = √12 π/2 (cos(t))2n+1dt -π/2 2.2 Now that we have I(n) = f(cos(t))2n+1dt. What is I(n - 1)? Leave your answer in integral form.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 104E
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Question
![Recall that I(n) =
2.1 Substitute x =
(1 - x²)"dr.
sin(t) in I(n) and show that I(n) can be written as
I(n) = √12
π/2
(cos(t))2n+1dt
-π/2
2.2 Now that we have I(n) = f(cos(t))2n+1 dt. What is I(n - 1)?
Leave your answer in integral form.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ebeb873-4b81-4be3-aff9-20ed4756e347%2F1a79f601-5ad7-4ece-9521-4e7b388488ab%2Fp0f6z5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Recall that I(n) =
2.1 Substitute x =
(1 - x²)"dr.
sin(t) in I(n) and show that I(n) can be written as
I(n) = √12
π/2
(cos(t))2n+1dt
-π/2
2.2 Now that we have I(n) = f(cos(t))2n+1 dt. What is I(n - 1)?
Leave your answer in integral form.
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