x Let F(x) = √ ² = [* sin(6t²) dt. Find the MacLaurin polynomial of degree 7 for F(x). 0.78 Use this polynomial to estimate the value of ·º¹7° sin(6x²) da. Note: your answer to the last part needs to be correct to 9 decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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x
Let
F(x) = √ ²
= [* sin(6t²) dt.
Find the MacLaurin polynomial of degree 7 for F(x).
0.78
Use this polynomial to estimate the value of
·º¹7° sin(6x²) da.
Note: your answer to the last part needs to be correct to 9 decimal places.
Transcribed Image Text:x Let F(x) = √ ² = [* sin(6t²) dt. Find the MacLaurin polynomial of degree 7 for F(x). 0.78 Use this polynomial to estimate the value of ·º¹7° sin(6x²) da. Note: your answer to the last part needs to be correct to 9 decimal places.
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