Chapter 6.3, Problem 3CP

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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Checkpoint 3

Use the Trapezoidal Rule to estimate the value of

To determine

**To calculate:** The approximate value of the integral

Explanation

**Given Information:**

The definite integral is

**Formula used:**

The simple power rule of differentiation,

The chain rule of differentiation for differential function

The quotient rule of differentiation,

The approximate value of integral

The approximate error in Trapezoidal Rule for integral

The steps to choose the value of *n* subdivision to calculate error:

Step:1. Find second derivative of function

Step:2. Find the maximum of

Step:3. The inequality for the error as,

Step:4. Solve for

Step:5. Divide the closed interval

**Calculation:**

Consider the integral,

Use the simple power rule and chain rule of differentiation,

Use the quotient rule of differentiation to differentiate the first derivative,

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

Sect-6.1 P-4SWUSect-6.1 P-5SWUSect-6.1 P-6SWUSect-6.1 P-7SWUSect-6.1 P-8SWUSect-6.1 P-9SWUSect-6.1 P-10SWUSect-6.1 P-1ESect-6.1 P-2ESect-6.1 P-3ESect-6.1 P-4ESect-6.1 P-5ESect-6.1 P-6ESect-6.1 P-7ESect-6.1 P-8ESect-6.1 P-9ESect-6.1 P-10ESect-6.1 P-11ESect-6.1 P-12ESect-6.1 P-13ESect-6.1 P-14ESect-6.1 P-15ESect-6.1 P-16ESect-6.1 P-17ESect-6.1 P-18ESect-6.1 P-19ESect-6.1 P-20ESect-6.1 P-21ESect-6.1 P-22ESect-6.1 P-23ESect-6.1 P-24ESect-6.1 P-25ESect-6.1 P-26ESect-6.1 P-27ESect-6.1 P-28ESect-6.1 P-29ESect-6.1 P-30ESect-6.1 P-31ESect-6.1 P-32ESect-6.1 P-33ESect-6.1 P-34ESect-6.1 P-35ESect-6.1 P-36ESect-6.1 P-37ESect-6.1 P-38ESect-6.1 P-39ESect-6.1 P-40ESect-6.1 P-41ESect-6.1 P-42ESect-6.1 P-43ESect-6.1 P-44ESect-6.1 P-45ESect-6.1 P-46ESect-6.1 P-47ESect-6.1 P-48ESect-6.1 P-49ESect-6.1 P-50ESect-6.1 P-51ESect-6.1 P-52ESect-6.1 P-53ESect-6.1 P-54ESect-6.1 P-55ESect-6.1 P-56ESect-6.1 P-57ESect-6.1 P-58ESect-6.1 P-59ESect-6.1 P-60ESect-6.1 P-61ESect-6.1 P-62ESect-6.1 P-63ESect-6.1 P-64ESect-6.1 P-65ESect-6.1 P-66ESect-6.1 P-67ESect-6.1 P-68ESect-6.1 P-69ESect-6.1 P-70ESect-6.1 P-71ESect-6.1 P-72ESect-6.1 P-73ESect-6.1 P-74ESect-6.1 P-75ESect-6.1 P-76ESect-6.1 P-77ESect-6.1 P-78ESect-6.1 P-79ESect-6.1 P-80ESect-6.1 P-81ESect-6.1 P-82ESect-6.2 P-1CPSect-6.2 P-2CPSect-6.2 P-3CPSect-6.2 P-4CPSect-6.2 P-5CPSect-6.2 P-6CPSect-6.2 P-1SWUSect-6.2 P-2SWUSect-6.2 P-3SWUSect-6.2 P-4SWUSect-6.2 P-5SWUSect-6.2 P-6SWUSect-6.2 P-1ESect-6.2 P-2ESect-6.2 P-3ESect-6.2 P-4ESect-6.2 P-5ESect-6.2 P-6ESect-6.2 P-7ESect-6.2 P-8ESect-6.2 P-9ESect-6.2 P-10ESect-6.2 P-11ESect-6.2 P-12ESect-6.2 P-13ESect-6.2 P-14ESect-6.2 P-15ESect-6.2 P-16ESect-6.2 P-17ESect-6.2 P-18ESect-6.2 P-19ESect-6.2 P-20ESect-6.2 P-21ESect-6.2 P-22ESect-6.2 P-23ESect-6.2 P-24ESect-6.2 P-25ESect-6.2 P-26ESect-6.2 P-27ESect-6.2 P-28ESect-6.2 P-29ESect-6.2 P-30ESect-6.2 P-31ESect-6.2 P-32ESect-6.2 P-33ESect-6.2 P-34ESect-6.2 P-35ESect-6.2 P-36ESect-6.2 P-37ESect-6.2 P-38ESect-6.2 P-39ESect-6.2 P-40ESect-6.2 P-41ESect-6.2 P-42ESect-6.2 P-43ESect-6.2 P-44ESect-6.2 P-45ESect-6.2 P-46ESect-6.2 P-47ESect-6.2 P-48ESect-6.2 P-49ESect-6.2 P-50ESect-6.2 P-51ESect-6.2 P-52ESect-6.2 P-53ESect-6.2 P-54ESect-6.2 P-55ESect-6.2 P-56ESect-6.2 P-57ESect-6.2 P-58ESect-6.2 P-59ESect-6.2 P-60ESect-6.2 P-61ESect-6.2 P-1QYSect-6.2 P-2QYSect-6.2 P-3QYSect-6.2 P-4QYSect-6.2 P-5QYSect-6.2 P-6QYSect-6.2 P-7QYSect-6.2 P-8QYSect-6.2 P-9QYSect-6.2 P-10QYSect-6.2 P-11QYSect-6.2 P-12QYSect-6.2 P-13QYSect-6.2 P-14QYSect-6.2 P-15QYSect-6.2 P-16QYSect-6.2 P-17QYSect-6.2 P-18QYSect-6.2 P-19QYSect-6.2 P-20QYSect-6.2 P-21QYSect-6.3 P-1CPSect-6.3 P-2CPSect-6.3 P-3CPSect-6.3 P-1SWUSect-6.3 P-2SWUSect-6.3 P-3SWUSect-6.3 P-4SWUSect-6.3 P-5SWUSect-6.3 P-6SWUSect-6.3 P-7SWUSect-6.3 P-8SWUSect-6.3 P-9SWUSect-6.3 P-10SWUSect-6.3 P-1ESect-6.3 P-2ESect-6.3 P-3ESect-6.3 P-4ESect-6.3 P-5ESect-6.3 P-6ESect-6.3 P-7ESect-6.3 P-8ESect-6.3 P-9ESect-6.3 P-10ESect-6.3 P-11ESect-6.3 P-12ESect-6.3 P-13ESect-6.3 P-14ESect-6.3 P-15ESect-6.3 P-16ESect-6.3 P-17ESect-6.3 P-18ESect-6.3 P-19ESect-6.3 P-20ESect-6.3 P-31ESect-6.3 P-32ESect-6.3 P-33ESect-6.3 P-34ESect-6.3 P-35ESect-6.3 P-36ESect-6.3 P-37ESect-6.3 P-38ESect-6.3 P-39ESect-6.3 P-40ESect-6.3 P-43ESect-6.3 P-44ESect-6.3 P-45ESect-6.3 P-46ESect-6.3 P-47ESect-6.3 P-48ESect-6.4 P-1CPSect-6.4 P-2CPSect-6.4 P-3CPSect-6.4 P-4CPSect-6.4 P-5CPSect-6.4 P-1SWUSect-6.4 P-2SWUSect-6.4 P-3SWUSect-6.4 P-4SWUSect-6.4 P-5SWUSect-6.4 P-6SWUSect-6.4 P-7SWUSect-6.4 P-8SWUSect-6.4 P-9SWUSect-6.4 P-10SWUSect-6.4 P-1ESect-6.4 P-2ESect-6.4 P-3ESect-6.4 P-4ESect-6.4 P-5ESect-6.4 P-6ESect-6.4 P-7ESect-6.4 P-8ESect-6.4 P-9ESect-6.4 P-10ESect-6.4 P-11ESect-6.4 P-12ESect-6.4 P-13ESect-6.4 P-14ESect-6.4 P-15ESect-6.4 P-16ESect-6.4 P-17ESect-6.4 P-18ESect-6.4 P-19ESect-6.4 P-20ESect-6.4 P-21ESect-6.4 P-22ESect-6.4 P-23ESect-6.4 P-24ESect-6.4 P-25ESect-6.4 P-26ESect-6.4 P-27ESect-6.4 P-28ESect-6.4 P-29ESect-6.4 P-30ESect-6.4 P-31ESect-6.4 P-32ESect-6.4 P-33ESect-6.4 P-34ESect-6.4 P-35ESect-6.4 P-36ESect-6.4 P-37ESect-6.4 P-38ESect-6.4 P-39ESect-6.4 P-40ESect-6.4 P-41ESect-6.4 P-42ECh-6 P-1RECh-6 P-2RECh-6 P-3RECh-6 P-4RECh-6 P-5RECh-6 P-6RECh-6 P-7RECh-6 P-8RECh-6 P-9RECh-6 P-10RECh-6 P-11RECh-6 P-12RECh-6 P-13RECh-6 P-14RECh-6 P-15RECh-6 P-16RECh-6 P-17RECh-6 P-18RECh-6 P-19RECh-6 P-20RECh-6 P-21RECh-6 P-22RECh-6 P-23RECh-6 P-24RECh-6 P-25RECh-6 P-26RECh-6 P-27RECh-6 P-28RECh-6 P-29RECh-6 P-30RECh-6 P-31RECh-6 P-32RECh-6 P-33RECh-6 P-34RECh-6 P-35RECh-6 P-36RECh-6 P-37RECh-6 P-38RECh-6 P-39RECh-6 P-40RECh-6 P-41RECh-6 P-42RECh-6 P-43RECh-6 P-44RECh-6 P-45RECh-6 P-46RECh-6 P-47RECh-6 P-48RECh-6 P-49RECh-6 P-50RECh-6 P-51RECh-6 P-52RECh-6 P-53RECh-6 P-54RECh-6 P-55RECh-6 P-56RECh-6 P-57RECh-6 P-58RECh-6 P-59RECh-6 P-60RECh-6 P-61RECh-6 P-62RECh-6 P-63RECh-6 P-64RECh-6 P-1TYSCh-6 P-2TYSCh-6 P-3TYSCh-6 P-4TYSCh-6 P-5TYSCh-6 P-6TYSCh-6 P-7TYSCh-6 P-8TYSCh-6 P-9TYSCh-6 P-10TYSCh-6 P-11TYSCh-6 P-12TYSCh-6 P-13TYSCh-6 P-14TYSCh-6 P-15TYSCh-6 P-16TYSCh-6 P-17TYSCh-6 P-18TYS

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