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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275361

Chapter 8.7, Problem 4E

Textbook Problem

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Integration by Tables In Exercises 3 and 4 use a table of integrals with forms involving

Expert Solution

To determine

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

**Given:** We are given with the Indefinite integral :

**Formula used:**

Recall Formula 13 from the table of integrals:

**Calculation:**

Compare the form of given Indefinite Integral with Formula 13 :

We assume that

Calculus of a Single Variable

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Use the graph of f1 shown in...Ch. 8.4 - True or False? In Exercises 47-50, determine...Ch. 8.4 - True or False? In Exercises 47-50, determine...Ch. 8.4 - True or False? In Exercises 47-50, determine...Ch. 8.4 - True or False? In Exercises 47-50, determine...Ch. 8.4 - Area Find the Area enclosed by the ellipse...Ch. 8.4 - Area Find the area of the shaded region of the...Ch. 8.4 - Arc Length In Exercises 53 and 54, find the arc...Ch. 8.4 - Arc Length In Exercises 53 and 54, find the arc...Ch. 8.4 - Volume of a Torus In Exercises 55 and 56, find the...Ch. 8.4 - Volume of a Torus In Exercises 55 and 56, find the...Ch. 8.4 - Centroid In Exercises 57 and 58, find the centroid...Ch. 8.4 - Centroid In Exercises 57 and 58, find the centroid...Ch. 8.4 - Volume The axis of a storage tank in the form of a...Ch. 8.4 - Field Strength The field strength H of a magnet of...Ch. 8.4 - Tractrix A person moves from the origin along the...Ch. 8.4 - Conjecture (a) Find formulas for the distances...Ch. 8.4 - Fluid Force Find the fluid force on a circular...Ch. 8.4 - Fluid Force Evaluate the following two integrals,...Ch. 8.4 - Verifying Formulas Use trigonometric substitution...Ch. 8.4 - Arc length Show that the arc length of the graph...Ch. 8.4 - Area of a Lune The crescent shaped region bounded...Ch. 8.4 - Area: Two circles of radius 3, with centres at...Ch. 8.4 - PUTNAM EXAM CHALLENGE Evaluate 01ln(x+1)x2+1dx.Ch. 8.5 - Partial Fraction Decomposition Write the form of...Ch. 8.5 - Guidelines for Solving the Basic Equation In your...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 5-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20, use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20: use...Ch. 8.5 - Using Partial Fractions In Exercises 3-20: use...Ch. 8.5 - Evaluating a Definite Integral In Exercises 21-24,...Ch. 8.5 - Evaluating a Definite Integral In Exercises 21-24,...Ch. 8.5 - Evaluating a Definite Integral In Exercises 21-24,...Ch. 8.5 - Evaluating a Definite Integral In exercises 21-24,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Finding an Indefinite Integral In Exercises 25-32,...Ch. 8.5 - Verifying a Formula In Exercises 33-36, use the...Ch. 8.5 - Verifying a Formula In Exercises 33-36, use the...Ch. 8.5 - Verifying a Formula In Exercises 33-36, use the...Ch. 8.5 - Verifying a Formula In Exercises 33-36, use the...Ch. 8.5 - EXPLORING CONCEPTS Choosing a method In Exercises...Ch. 8.5 - EXPLORING CONCEPTS Choosing a method In Exercises...Ch. 8.5 - EXPLORING CONCEPTS Choosing a method In Exercises...Ch. 8.5 - HOW DO YOU SEE IT? Use the graph of f shown in the...Ch. 8.5 - Area In Exercises 41-44, use partial fractions to...Ch. 8.5 - Area In Exercises 41-44, use partial fractions to...Ch. 8.5 - Area In Exercises 41-44, use partial fractions to...Ch. 8.5 - Area In Exercises 41-44, use partial fractions to...Ch. 8.5 - Modeling Data The predicted cost C (in hundreds of...Ch. 8.5 - Average Value of a Function Find the average value...Ch. 8.5 - Volume and Centroid Consider the region bounded by...Ch. 8.5 - Volume Consider the region bounded by the graph of...Ch. 8.5 - Epidemic Model A single infected individual enters...Ch. 8.5 - Chemical Reaction In a chemical reaction, one unit...Ch. 8.5 - Using Two Methods Evaluate 01x1+x4dx in two...Ch. 8.5 - Prove 227=01x4(1x)41+x2dxCh. 8.5 - Let p(x) be a nonzero polynomial of degree less...Ch. 8.6 - CONCEPT CHECK Finding an Interval Would you use...Ch. 8.6 - CONCEPT CHECK Errors in the Trapezoidal Rule and...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Using the Trapezoidal Rule and Simpsonss Rule In...Ch. 8.6 - Estimating Errors In Exercises 25-28, use the...Ch. 8.6 - Estimating Errors In Exercises 25-28, use the...Ch. 8.6 - Estimating Errors In Exercises 25-28, use the...Ch. 8.6 - Estimating Errors In Exercises 25-28, use the...Ch. 8.6 - Estimating Errors In Exercises 29-32, use the...Ch. 8.6 - Estimating Errors In Exercises 29-32, use the...Ch. 8.6 - Estimating Errors In Exercises 29-32, use the...Ch. 8.6 - Estimating Errors In Exercises 29-32, use the...Ch. 8.6 - Estimating Errors Using Technology In Exercises 33...Ch. 8.6 - Estimating Errors Using Technology In Exercises 33...Ch. 8.6 - Finding the Area of a Region Approximate the area...Ch. 8.6 - Finding the Area of a Region Approximate the area...Ch. 8.6 - Area Use Simpsons Rule with n=14 to approximate...Ch. 8.6 - HOW DO YOU SEE IT? 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(a) Find the number a such that the line x = a bisects the area under the curve y = 1/x2, l x 4. (b) Find the...

Single Variable Calculus: Early Transcendentals

Childhood participation in sports, cultural groups, and youth groups appears to be related to improved selfeste...

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

Exercises
3. In each part of Exercise , decide whether the permutation is even or odd.
1. Express each permutat...

Elements Of Modern Algebra

Solve each equation (when necessary, round results to three significant digits): 21x22910=0

Elementary Technical Mathematics

53. If and , find
(a)
(b)
(c)

Mathematical Applications for the Management, Life, and Social Sciences

A random sample is obtained from a population with a mean of =45 . After a treatment is administered to the ind...

Statistics for The Behavioral Sciences (MindTap Course List)

Cricket Chirps: Temperature Anyone who has been outdoors on a summer evening has probably heard crickets. Did y...

Understanding Basic Statistics

A chemical engineer is interested in determining whether a certain trace impurity is present in a product. An e...

Probability and Statistics for Engineering and the Sciences

Simplify the algebraic expressions in Problems 1-14 by com- bining similar terms. Objective 1 7x+11x

Intermediate Algebra

Subtract the following fractions and reduce to lowest terms.
24.

Contemporary Mathematics for Business & Consumers

In Exercises 27 to 32, use graphing to find the point of intersection of the two lines. Use Example 8 as a guid...

Elementary Geometry For College Students, 7e

EXCURSION EXERCISES Solve each of the, following puzzles. Note: The authors of this textbook are not associated...

Mathematical Excursions (MindTap Course List)

Exercises You can use the following problems as a self-test on the material presented in this review. If you ca...

Essentials Of Statistics

For each of the following problems, find the angular velocity, in radians per minute, associated with the given...

Trigonometry (MindTap Course List)

Find all possible real solutions of each equation in Exercises 3144. x3+4x2+4x+3=0

Finite Mathematics

Using a Right Triangle In Exercises 117-122, use the figure to write the expression in algebraic form given y=a...

Calculus: Early Transcendental Functions (MindTap Course List)

In a gambrel style roof, the gable end of a barn has the shape of an isosceles trapezoid surmounted by an isosc...

Elementary Geometry for College Students

In Exercise 1-6, express each equation in logarithmic form. 32=19

Finite Mathematics for the Managerial, Life, and Social Sciences

True or False:
converges absolutely.

Study Guide for Stewart's Multivariable Calculus, 8th

Slope Field In Exercises 6772, use a computer algebra system to (a) graph the slope field for the differential ...

Calculus (MindTap Course List)

Method of Undetermined CoefficientsIn Exercises 11-16, solve the differential equation by the method of undeter...

Multivariable Calculus

The absolute maximum value of f(x) = 6x − x2 on [1, 7] is:
3
9
76
−7

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

Describe the goal of single-case research and explain how single-case designs are related to other experimental...

Research Methods for the Behavioral Sciences (MindTap Course List)

Suppose on average a male shaver in Year 1 bought one razor handle and used 17 razor blades in a year and that ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Describe the relative strengths and weaknesses of self-report measures compared to behavioral measures.

Research Methods for the Behavioral Sciences (MindTap Course List)

Determine if the statement is true or false. If the statement is false, then correct it and make it true. If th...

College Algebra (MindTap Course List)

Construct a diagram to represent the note-taking experiment of Example 2.4. Example 2.4 Put Away That Laptop! T...

Introduction To Statistics And Data Analysis

Solve each of the following equations using the addition principle of equality. Check each answer. 39=F39

Mathematics For Machine Technology

Businessweek reported that there seems to be a difference by age group in how well people like life in Russia (...

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

VirtualTourist provides ratings for hotels throughout the world. Ratings provided by 649 guests at the Sherato...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

In each of 7-14, relation R is an equivalence relation on the set A. Find the distinct equivalence classes of R...

Discrete Mathematics With Applications

ReminderRound all answers to two decimal places unless otherwise indicated. NoteSome of the formulas below use ...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In Problems 3740 find f(t) by first using a trigonometric identity. 40. f(t)=10cos(t6)

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

In Exercises 1-18, write the given number in expanded form, or explain why there is no such number. 22058

Mathematics: A Practical Odyssey

Middle-Level Manager Salaries. Suppose that an independent study of middle-level managers employed at companies...

Essentials Of Statistics For Business & Economics

Think About It In Exercises 71 and 72, find the value of k that makes the matrix singular. 432k

College Algebra