cos(x) dx 4.

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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Use the trapezoidal rule withn=8 to approximate
4 cos(x)
dx
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Keep at least 2 decimal places accuracy in your final a
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Transcribed Image Text:Use the trapezoidal rule withn=8 to approximate 4 cos(x) dx Preview Keep at least 2 decimal places accuracy in your final a Get help: Video Points possible: 1 This is attempt 1 of 3. Message instructor about this question Submit
Expert Solution
Step 1

Given:

14cosxxdxat n=8

Step 2

Formula:

abfxdxTn=x2fx0+2fx1+2fx2+.......+2fxn-1+fxn

x=b-an

Step 3

x=b-ana=1,b=4,n=8x=4-18=38

divide the interval 1,4 into n=8 subintervals of length x=38with the following endpoints.

a=1,118,74,178,52,238,134,298,4=b

now we have just evaluated the function at this endpoint

fx0=fa=f1=cos1=0.540302305868 

 

 

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