Chapter 6.3, Problem 17E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Using the Trapezoidal Rule** and Simpson’s Rule In Exercises 11-20, approximate the value of the definite integral using (a) the Trapezoidal Rule and (b) Simpson's Rule for the indicated value of *n.* Round your answers to three decimal places. See *Examples 1 and 2.*

**(a)**

To determine

**To calculator:** The value of the integral *n*. Round your answers to four decimal places.

Explanation

**Given Information:**

The definite integral is

**Formula used:**

Trapezoidal Rule:

If a function *f* is continuous on

**Calculation:**

Calculation by Trapezoidal Rule:

Consider the definite integral

When

And the end points of subintervals are,

And,

And,

Thus, the graph of the function is,

By Trapezoidal Rule

**(b)**

To determine

**To calculation:** The value of the integral *n*. Round your answers to four decimal places.

Sect-6.1 P-1CPSect-6.1 P-2CPSect-6.1 P-3CPSect-6.1 P-4CPSect-6.1 P-5CPSect-6.1 P-6CPSect-6.1 P-7CPSect-6.1 P-1SWUSect-6.1 P-2SWUSect-6.1 P-3SWU

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