Given the integral sin(x²) dx is difficult to integrate by hand, find a power series for sin(x²) By re-using the power series for sin(x) you already found in a previous homework. Then, integrate term by term to reach a 4-decimal place accuracy. How many terms will you need?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Second pic is the power series from other homework
Given the integral S sin(x²) dx is difficult to integrate by hand, find a power series for sin(x²)
By re-using the power series for sin(x) you already found in a previous homework. Then, integrate term
by term to reach a 4-decimal place accuracy. How many terms will you need?
Transcribed Image Text:Given the integral S sin(x²) dx is difficult to integrate by hand, find a power series for sin(x²) By re-using the power series for sin(x) you already found in a previous homework. Then, integrate term by term to reach a 4-decimal place accuracy. How many terms will you need?
3) Let flx)=Si. (^)
APProx: SM TT
15
|f (o) =Sins floを5L. 0)- 0
ン
31,
5!
15
120
6040
362880
(AClurate to W dig4s)
Transcribed Image Text:3) Let flx)=Si. (^) APProx: SM TT 15 |f (o) =Sins floを5L. 0)- 0 ン 31, 5! 15 120 6040 362880 (AClurate to W dig4s)
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