Let F(x) = | sin(5t²) dt. Find the MacLaurin polynomial of degree 7 for F(x). 0.78 Use this polynomial to estimate the value of | sin(5x?) dx. Note: your answer to the last part needs to be correct to 9 decimal places.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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Let F(x) = | sin(5t²) dt.
Find the MacLaurin polynomial of degree 7 for F(x).
0.78
Use this polynomial to estimate the value of
| sin(5x?) dx.
Note: your answer to the last part needs to be correct to 9 decimal places.
Transcribed Image Text:Let F(x) = | sin(5t²) dt. Find the MacLaurin polynomial of degree 7 for F(x). 0.78 Use this polynomial to estimate the value of | sin(5x?) dx. Note: your answer to the last part needs to be correct to 9 decimal places.
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