Approximating definite integrals Use a Taylor | Ch 9.4 - 36E

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Problem 36E Chapter 9.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 36E

Approximating definite integrals Use a Taylor series to approximate the following definite integrals. Retain as many terms as needed to ensure the error is less than 10−4

Step-by-Step Solution:

Solution 36E

Step 1:

In this problem we need to approximate the definite integral )dx  using taylor series.

           

We know that  cos(x) = 1 - + -+...........

By using  the above  result , we get  

Cos ( ) = 1 - + -+...........

         

         )dx = ( 1 - + -+..........)dx

                              =   1 -  +

Step 2 of 3

Chapter 9.4, Problem 36E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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