Find the approximate integral of 4 1 * -dx In x 2 when n=10 using a) the Trapezoidal Rule, b) the Midpoint Rule, and c) Simpson's Rule. Round each answer to four decimal places. a) Trapezoidal Rule approximate: b) Midpoint Rule approximate: c) Simpson's Rule approximate:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 58E
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Find the approximate integral of
4
1
Ldx
-dx
In x
when n=10 using a) the Trapezoidal Rule, b)
9
the Midpoint Rule, and c) Simpson's Rule.
Round each answer to four decimal places.
a) Trapezoidal Rule approximate:
b) Midpoint Rule approximate:
c) Simpson's Rule approximate:
Transcribed Image Text:Find the approximate integral of 4 1 Ldx -dx In x when n=10 using a) the Trapezoidal Rule, b) 9 the Midpoint Rule, and c) Simpson's Rule. Round each answer to four decimal places. a) Trapezoidal Rule approximate: b) Midpoint Rule approximate: c) Simpson's Rule approximate:
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