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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275361

Chapter 8.7, Problem 37E

Textbook Problem

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Finding an Indefinite Integral In Exercises 19–40, use a table of integrals to find the indefinite integral.

To determine

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

**Given:**

The integral is:

**Formula used:**

Use the formula 31 from the table of integrals:

**Calculation:**

Consider the provided integral,

Now, use the formula 31 from the table.

Let

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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Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 25-30, find the rules for the composite functions f g and g f. 28. f(x)=2x+3;g(x)=x2+1

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

Expand each expression in Exercises 122. (2x3)(2x+3)

Applied Calculus

SOC A school system has assigned several hundred "chronic and severe underachievers to an alternative education...

Essentials Of Statistics

A sample of n = 5 scores has a mean of M = 12. If one new score with a value of X 18 is added to the sample, t...

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

Exercises In Section 3.3, the centralizer of an element a in the group G was shown to be the subgroup given by ...

Elements Of Modern Algebra

In problems 1-6, perform the indicated matrix operations with the following matrices.

Mathematical Applications for the Management, Life, and Social Sciences

For Exercises 1 to 8, use the figure provided. Exercises 1-8 If mDE=46,findmO.

Elementary Geometry For College Students, 7e

Four universities1, 2, 3, and 4are participating in a holiday basketball tournament. In the first round, 1 will...

Probability and Statistics for Engineering and the Sciences

Find the smaller number: 0.00000000998; 0.01

Elementary Technical Mathematics

For problems 15-26, simplify each numerical expression. Be sure to take advantage of the properties whenever th...

Intermediate Algebra

A random sample of n=25 individuals is selected from a population with =20 , and a treatment is administered to...

Statistics for The Behavioral Sciences (MindTap Course List)

Let a=log2,b=log3, and c=log7. In Exercises 2946, use the logarithm identities to express the given quantity in...

Finite Mathematics

In Exercises 27 to 30, determine whether the first set is a proper subset of the second set. The set of countin...

Mathematical Excursions (MindTap Course List)

The wage base limit for social security used in this chapter is _____. (9-5)

Contemporary Mathematics for Business & Consumers

Critical Thinking Describe how data outliers might be revealedin histograms and stem-and-leaf plots.

Understanding Basic Statistics

In each of the following problems, is a central angle that cuts off an arc of length s. In each case, find the...

Trigonometry (MindTap Course List)

Finding Inverse Functions In Exercises 77-80, (a) find the inverse of the function, (b) use a graphing utility ...

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercise 5761, determine whether the statement is true or false. If it is true, explain why it is true. If i...

Finite Mathematics for the Managerial, Life, and Social Sciences

Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 in2 and that each later...

Elementary Geometry for College Students

Finding Minimum Distance In Exercises 19-28, use Lagrange multipliers to find the minimum distance from the cur...

Multivariable Calculus

First Partial Derivatives List three ways of writing the first partial derivative with respect to x of z = f(x,...

Calculus (MindTap Course List)

2
1
0
does not exist

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

A critical point of f(x, y) = 60 − 6x + x2 + 8y − y2 is:
(3, 4)
(23, 24)
(−3, 4)
(3, −4)

Study Guide for Stewart's Multivariable Calculus, 8th

Practice Simplify each expression. Assume that all variables represent positive numbers. Write all answers with...

College Algebra (MindTap Course List)

Beverly is building a fireplace. She is using handmade decorative 8-inch bricks for the bottom row of the firep...

Introduction To Statistics And Data Analysis

At Western University the historical mean of scholarship examination scores for freshman applications is 900. A...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Find distance y. All dimensions are in millimeters

Mathematics For Machine Technology

A process sampled 20 times with a sample of size 8 resulted in x = 28.5 and R = 1.6. Compute the upper and lowe...

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

What is the primary factor that determines when it is time to change phases?

Research Methods for the Behavioral Sciences (MindTap Course List)

Define a statistic and a parameter and explain the role that each plays in inferential statistics.

Research Methods for the Behavioral Sciences (MindTap Course List)

In Exercises 7-12, three coins are tossed. Find the experiment and the sample space.

Mathematics: A Practical Odyssey