VI /1 – x dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 8E
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Approximate the definite integral using the Trapezoidal Rule and Simpson’s Rule with n = 4. Compare these results with the approximation of the integral using a graphing utility

VI /1 – x dx
Transcribed Image Text:VI /1 – x dx
Expert Solution
Step 1

Trapezoidal rule:

01 x1-xdxf(x)=x1-xa=0, b=1h=b-an   =14

Step 2

f(x)=h2[f(x0)+f(x3)+2{f(x1)+f(x2)}]      =18[2{(32)+1}]      =18[2{34+34}]      =18[3]      =38

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