1. If we use u² for the argument of the Fresnel Integrals, we can construct the normalized Fresnel Integrals. Prove that the power series expansion for the normalized Fresnel Integrals is C(t) = cos(²) du and S(t) = n=0 (-1) (π/2)²+4n+1 (4n+1)(2n)! = ſo' sin(™ª²)du = Σ (−1)″ (#/2)2n+1,4n+3 2 n=0 (4n+3) (2n+1)!
1. If we use u² for the argument of the Fresnel Integrals, we can construct the normalized Fresnel Integrals. Prove that the power series expansion for the normalized Fresnel Integrals is C(t) = cos(²) du and S(t) = n=0 (-1) (π/2)²+4n+1 (4n+1)(2n)! = ſo' sin(™ª²)du = Σ (−1)″ (#/2)2n+1,4n+3 2 n=0 (4n+3) (2n+1)!
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 62E
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