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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.6 - Problem 33e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.6 - Problem 33e

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# Answer: Trapezoid Rule and Simpson’s Rule Consider the

ISBN: 9780321570567 2

## Solution for problem 33E Chapter 7.6

Calculus: Early Transcendentals | 1st Edition

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Problem 33E

Trapezoid Rule and Simpson’s Rule Consider the following integrals and the given values of n.a. Find the Trapezoid Rule approximation to the integral using n and 2n subintervals.b. Find the Simpson’s Rule approximation to the integral using 2n subintervals. It is easiest to obtain Simpson’s Rule approximations from the Trapezoid Rule approximations, as in Example 6.c. Compute the absolute errors in the Trapezoid Rule and Simpson’s Rule with 2n subintervals.

Step-by-Step Solution:

Step 1 of 5

Given integral is

(a) Trapezoidal rule states that

We have that a=1, b=?, n=50.

Therefore

Divide interval [1, inti n=50 subintervals of length with the following endpoints a=1,

Step 2 of 5

Step 3 of 5

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