Use the Taylor series of degree 5 about a = 0 for f(x) = sin x to approximate the following integral. [²²: a. First, calculate the Taylor series of degree 5 about a = 0 for sin x. P₁(x) = sin √x dr b. Now substitute √ in for a into the Taylor series you found in Part a. Ps(vz)= c. Replace the integrand, sin √, with P₁(√) from Part b. and compute this new integral to approximate the original integral. Round your answer to within three decimal places. 1.2 S sin √x dx ≈ · [¹²³ Ps(√x) dx =
Use the Taylor series of degree 5 about a = 0 for f(x) = sin x to approximate the following integral. [²²: a. First, calculate the Taylor series of degree 5 about a = 0 for sin x. P₁(x) = sin √x dr b. Now substitute √ in for a into the Taylor series you found in Part a. Ps(vz)= c. Replace the integrand, sin √, with P₁(√) from Part b. and compute this new integral to approximate the original integral. Round your answer to within three decimal places. 1.2 S sin √x dx ≈ · [¹²³ Ps(√x) dx =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 76E
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l8 and l9 solve both please
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