Chapter 13.3, Problem 25E

BuyFind*arrow_forward*

11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

In Problems 13-26, equations are given whose graphs enclose a region. In each problem, find the area of the region.

To determine

**To calculate:** The area of the region between

Explanation

**Given information:**

The provided curve is:

**Formula used:**

Area between two curve:

If

Or

**Calculation:**

Consider the provided equation:

Draw the graph of the above function to check whether

Calculate the values at different values of

Substitute

Substitute

Substitute

Substitute

The table provided below shows the values of the function at different values of

Coordinates |
||

Sect-13.1 P-1CPSect-13.1 P-2CPSect-13.1 P-1ESect-13.1 P-2ESect-13.1 P-3ESect-13.1 P-4ESect-13.1 P-5ESect-13.1 P-6ESect-13.1 P-7ESect-13.1 P-8E

Sect-13.1 P-9ESect-13.1 P-10ESect-13.1 P-11ESect-13.1 P-12ESect-13.1 P-13ESect-13.1 P-14ESect-13.1 P-15ESect-13.1 P-16ESect-13.1 P-17ESect-13.1 P-18ESect-13.1 P-19ESect-13.1 P-20ESect-13.1 P-21ESect-13.1 P-22ESect-13.1 P-23ESect-13.1 P-24ESect-13.1 P-25ESect-13.1 P-26ESect-13.1 P-27ESect-13.1 P-28ESect-13.1 P-29ESect-13.1 P-30ESect-13.1 P-31ESect-13.1 P-32ESect-13.1 P-33ESect-13.1 P-34ESect-13.1 P-35ESect-13.1 P-36ESect-13.1 P-37ESect-13.1 P-38ESect-13.1 P-39ESect-13.1 P-40ESect-13.2 P-1CPSect-13.2 P-2CPSect-13.2 P-1ESect-13.2 P-2ESect-13.2 P-3ESect-13.2 P-4ESect-13.2 P-5ESect-13.2 P-6ESect-13.2 P-9ESect-13.2 P-10ESect-13.2 P-11ESect-13.2 P-12ESect-13.2 P-7ESect-13.2 P-8ESect-13.2 P-23ESect-13.2 P-24ESect-13.2 P-13ESect-13.2 P-14ESect-13.2 P-15ESect-13.2 P-16ESect-13.2 P-17ESect-13.2 P-18ESect-13.2 P-19ESect-13.2 P-20ESect-13.2 P-21ESect-13.2 P-22ESect-13.2 P-25ESect-13.2 P-26ESect-13.2 P-27ESect-13.2 P-28ESect-13.2 P-29ESect-13.2 P-30ESect-13.2 P-31ESect-13.2 P-32ESect-13.2 P-33ESect-13.2 P-34ESect-13.2 P-35ESect-13.2 P-36ESect-13.2 P-37ESect-13.2 P-38ESect-13.2 P-39ESect-13.2 P-40ESect-13.2 P-41ESect-13.2 P-42ESect-13.2 P-43ESect-13.2 P-44ESect-13.2 P-45ESect-13.2 P-46ESect-13.2 P-47ESect-13.2 P-48ESect-13.2 P-49ESect-13.2 P-50ESect-13.2 P-51ESect-13.2 P-52ESect-13.2 P-53ESect-13.2 P-54ESect-13.2 P-55ESect-13.2 P-56ESect-13.2 P-57ESect-13.2 P-58ESect-13.2 P-59ESect-13.2 P-60ESect-13.2 P-61ESect-13.2 P-62ESect-13.2 P-63ESect-13.2 P-64ESect-13.2 P-65ESect-13.2 P-66ESect-13.2 P-67ESect-13.2 P-68ESect-13.3 P-1CPSect-13.3 P-2CPSect-13.3 P-3CPSect-13.3 P-1ESect-13.3 P-2ESect-13.3 P-3ESect-13.3 P-4ESect-13.3 P-5ESect-13.3 P-6ESect-13.3 P-7ESect-13.3 P-8ESect-13.3 P-9ESect-13.3 P-10ESect-13.3 P-11ESect-13.3 P-12ESect-13.3 P-13ESect-13.3 P-14ESect-13.3 P-15ESect-13.3 P-16ESect-13.3 P-17ESect-13.3 P-18ESect-13.3 P-19ESect-13.3 P-20ESect-13.3 P-21ESect-13.3 P-22ESect-13.3 P-23ESect-13.3 P-24ESect-13.3 P-25ESect-13.3 P-26ESect-13.3 P-27ESect-13.3 P-28ESect-13.3 P-29ESect-13.3 P-30ESect-13.3 P-31ESect-13.3 P-32ESect-13.3 P-33ESect-13.3 P-34ESect-13.3 P-35ESect-13.3 P-36ESect-13.3 P-37ESect-13.3 P-38ESect-13.3 P-39ESect-13.3 P-40ESect-13.3 P-41ESect-13.3 P-42ESect-13.3 P-43ESect-13.3 P-44ESect-13.3 P-45ESect-13.3 P-46ESect-13.3 P-47ESect-13.3 P-48ESect-13.3 P-49ESect-13.3 P-50ESect-13.4 P-1CPSect-13.4 P-2CPSect-13.4 P-3CPSect-13.4 P-1ESect-13.4 P-2ESect-13.4 P-3ESect-13.4 P-4ESect-13.4 P-5ESect-13.4 P-6ESect-13.4 P-7ESect-13.4 P-8ESect-13.4 P-9ESect-13.4 P-10ESect-13.4 P-11ESect-13.4 P-12ESect-13.4 P-13ESect-13.4 P-14ESect-13.4 P-15ESect-13.4 P-16ESect-13.4 P-17ESect-13.4 P-18ESect-13.4 P-19ESect-13.4 P-20ESect-13.4 P-21ESect-13.4 P-22ESect-13.4 P-23ESect-13.4 P-24ESect-13.4 P-25ESect-13.4 P-26ESect-13.4 P-27ESect-13.4 P-28ESect-13.4 P-29ESect-13.4 P-30ESect-13.4 P-31ESect-13.4 P-32ESect-13.4 P-33ESect-13.4 P-34ESect-13.4 P-35ESect-13.4 P-36ESect-13.5 P-1CPSect-13.5 P-2CPSect-13.5 P-3CPSect-13.5 P-4CPSect-13.5 P-5CPSect-13.5 P-6CPSect-13.5 P-1ESect-13.5 P-2ESect-13.5 P-3ESect-13.5 P-4ESect-13.5 P-5ESect-13.5 P-6ESect-13.5 P-7ESect-13.5 P-8ESect-13.5 P-9ESect-13.5 P-10ESect-13.5 P-11ESect-13.5 P-12ESect-13.5 P-13ESect-13.5 P-14ESect-13.5 P-15ESect-13.5 P-16ESect-13.5 P-17ESect-13.5 P-18ESect-13.5 P-19ESect-13.5 P-20ESect-13.5 P-21ESect-13.5 P-22ESect-13.5 P-23ESect-13.5 P-24ESect-13.5 P-25ESect-13.5 P-26ESect-13.5 P-27ESect-13.5 P-28ESect-13.5 P-29ESect-13.5 P-30ESect-13.5 P-31ESect-13.5 P-32ESect-13.5 P-33ESect-13.5 P-34ESect-13.5 P-35ESect-13.5 P-36ESect-13.5 P-37ESect-13.5 P-38ESect-13.5 P-39ESect-13.5 P-40ESect-13.5 P-41ESect-13.5 P-42ESect-13.6 P-1CPSect-13.6 P-2CPSect-13.6 P-1ESect-13.6 P-2ESect-13.6 P-3ESect-13.6 P-4ESect-13.6 P-5ESect-13.6 P-6ESect-13.6 P-7ESect-13.6 P-8ESect-13.6 P-9ESect-13.6 P-10ESect-13.6 P-11ESect-13.6 P-12ESect-13.6 P-13ESect-13.6 P-14ESect-13.6 P-15ESect-13.6 P-16ESect-13.6 P-17ESect-13.6 P-18ESect-13.6 P-19ESect-13.6 P-20ESect-13.6 P-21ESect-13.6 P-22ESect-13.6 P-23ESect-13.6 P-24ESect-13.6 P-25ESect-13.6 P-26ESect-13.6 P-27ESect-13.6 P-28ESect-13.6 P-29ESect-13.6 P-30ESect-13.6 P-31ESect-13.6 P-32ESect-13.6 P-33ESect-13.6 P-34ESect-13.6 P-35ESect-13.6 P-36ESect-13.6 P-37ESect-13.6 P-38ESect-13.7 P-1CPSect-13.7 P-2CPSect-13.7 P-1ESect-13.7 P-2ESect-13.7 P-3ESect-13.7 P-4ESect-13.7 P-5ESect-13.7 P-6ESect-13.7 P-7ESect-13.7 P-8ESect-13.7 P-9ESect-13.7 P-10ESect-13.7 P-11ESect-13.7 P-12ESect-13.7 P-13ESect-13.7 P-14ESect-13.7 P-15ESect-13.7 P-16ESect-13.7 P-17ESect-13.7 P-18ESect-13.7 P-19ESect-13.7 P-20ESect-13.7 P-21ESect-13.7 P-22ESect-13.7 P-23ESect-13.7 P-24ESect-13.7 P-25ESect-13.7 P-26ESect-13.7 P-27ESect-13.7 P-28ESect-13.7 P-29ESect-13.7 P-30ESect-13.7 P-31ESect-13.7 P-32ESect-13.7 P-33ESect-13.7 P-34ESect-13.7 P-35ESect-13.7 P-36ESect-13.7 P-37ESect-13.7 P-38ESect-13.7 P-39ESect-13.7 P-40ESect-13.7 P-41ESect-13.7 P-42ESect-13.7 P-43ESect-13.7 P-44ESect-13.7 P-45ESect-13.7 P-47ESect-13.8 P-1CPSect-13.8 P-2CPSect-13.8 P-3CPSect-13.8 P-1ESect-13.8 P-2ESect-13.8 P-3ESect-13.8 P-4ESect-13.8 P-5ESect-13.8 P-6ESect-13.8 P-7ESect-13.8 P-8ESect-13.8 P-9ESect-13.8 P-10ESect-13.8 P-11ESect-13.8 P-12ESect-13.8 P-13ESect-13.8 P-14ESect-13.8 P-15ESect-13.8 P-16ESect-13.8 P-17ESect-13.8 P-18ESect-13.8 P-19ESect-13.8 P-20ESect-13.8 P-21ESect-13.8 P-22ESect-13.8 P-23ESect-13.8 P-24ESect-13.8 P-25ESect-13.8 P-26ESect-13.8 P-27ESect-13.8 P-28ESect-13.8 P-29ESect-13.8 P-30ESect-13.8 P-31ESect-13.8 P-32ESect-13.8 P-33ESect-13.8 P-34ECh-13 P-1RECh-13 P-2RECh-13 P-3RECh-13 P-4RECh-13 P-5RECh-13 P-6RECh-13 P-7RECh-13 P-8RECh-13 P-9RECh-13 P-10RECh-13 P-11RECh-13 P-12RECh-13 P-13RECh-13 P-14RECh-13 P-15RECh-13 P-16RECh-13 P-17RECh-13 P-18RECh-13 P-19RECh-13 P-20RECh-13 P-21RECh-13 P-22RECh-13 P-23RECh-13 P-24RECh-13 P-25RECh-13 P-26RECh-13 P-27RECh-13 P-28RECh-13 P-29RECh-13 P-30RECh-13 P-31RECh-13 P-32RECh-13 P-33RECh-13 P-34RECh-13 P-35RECh-13 P-36RECh-13 P-37RECh-13 P-38RECh-13 P-39RECh-13 P-40RECh-13 P-41RECh-13 P-42RECh-13 P-43RECh-13 P-44RECh-13 P-45RECh-13 P-46RECh-13 P-47RECh-13 P-48RECh-13 P-49RECh-13 P-50RECh-13 P-51RECh-13 P-53RECh-13 P-54RECh-13 P-55RECh-13 P-1TCh-13 P-2TCh-13 P-3TCh-13 P-4TCh-13 P-5TCh-13 P-6TCh-13 P-7TCh-13 P-8TCh-13 P-9TCh-13 P-10TCh-13 P-11TCh-13 P-12TCh-13 P-13TCh-13 P-14TCh-13 P-15TCh-13 P-16T

Finite Mathematics

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Essentials Of Statistics

Single Variable Calculus: Early Transcendentals, Volume I

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus: Early Transcendentals

Intermediate Algebra

Single Variable Calculus

Understanding Basic Statistics

Finite Mathematics and Applied Calculus (MindTap Course List)

Applied Calculus

Probability and Statistics for Engineering and the Sciences

Multivariable Calculus

Calculus: Early Transcendental Functions

Statistics for The Behavioral Sciences (MindTap Course List)

Calculus: An Applied Approach (MindTap Course List)

Calculus (MindTap Course List)

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Elementary Technical Mathematics

Mathematical Excursions (MindTap Course List)

Elementary Geometry For College Students, 7e

Contemporary Mathematics for Business & Consumers

Trigonometry (MindTap Course List)

Elements Of Modern Algebra

Finite Mathematics for the Managerial, Life, and Social Sciences

Single Variable Calculus: Early Transcendentals

Elementary Geometry for College Students

Calculus: Early Transcendental Functions (MindTap Course List)

Calculus of a Single Variable

Introduction To Statistics And Data Analysis

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Study Guide for Stewart's Multivariable Calculus, 8th

Mathematics For Machine Technology

Research Methods for the Behavioral Sciences (MindTap Course List)

Calculus (MindTap Course List)

Multivariable Calculus

STATISTICS F/BUSINESS+ECONOMICS-TEXT

College Algebra (MindTap Course List)

Statistics for Business & Economics, Revised (MindTap Course List)

Research Methods for the Behavioral Sciences (MindTap Course List)