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CalculusCalculus10th Edition

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Chapter 8.6, Problem 21E
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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095
Textbook Problem

Finding an Indefinite Integral In Exercises 17–38, use integration tables to find the indefinite integral.

∫ 4 x ( 2 − 5 x ) 2 d x

To determine

To calculate: The value of the indefinite integral ∫4x(2−5x)2dx by using integration tables.

Explanation

Given:

The integral is ∫4x(2−5x)2dx.

Formulae used:

Formula from table of integrals involving a+bu,

∫u(a+bu)2du=1b2(aa+bu+ln|a+bu|)+C

Where, u is a variable, and a,b are constant variables.

Calculation:

Consider the integral y=∫4x(2−5x)2dx.

Hence, y=∫4x(2+(−5)x)2dx

Let u=x and du=dx.

Hence a=2 and b=−5

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Chapter 8.6,
Problem 20E
Chapter 8.6,
Problem 22E
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Convert the expressions in Exercises 6584 to power form. 3x25472x3

Finite Mathematics and Applied Calculus (MindTap Course List)

Using Composite and Inverse Functions In Exercises 75-78, use the functions f(x)=18x3 and g(x)=x3 to find the i...

Calculus: Early Transcendental Functions

Find a power series representation for the function and determine the radius of convergence. 17. f(x)=x(1+4x)2

Multivariable Calculus

Think about It The table shows some values of the derivative of an unknown function f. Complete the table by fi...

Calculus of a Single Variable

The president announces that the national deficit is increasing, but at a decreasing rate. Interpret this state...

Single Variable Calculus: Early Transcendentals

Website Stability John OHagan is considering upgrading the Web server equipment at OHaganBooks.com because of f...

Applied Calculus

Finding a Distance In Exercises 3-8, find the distance between the two points. (0, 2), (3, 4)

Calculus: An Applied Approach (MindTap Course List)

In Exercises 1-8, find the indicated limit by first plotting the graph of the function in a suitable viewing wi...

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

Find sFndS, where F(x,y,z)=xi+yj+zk and S is the outwardly oriented surface shown in the figure the boundary su...

Calculus (MindTap Course List)

Find an expression for the function whose graph is the given curve. 51. The line segment joining the points (1,...

Single Variable Calculus: Early Transcendentals, Volume I

Use parametric equations and Simpsons Rule with n = 8 to estimate the circumference of the ellipse 9x2 + 4y2 = ...

Calculus: Early Transcendentals

Standardized measures seem to indicate that the average level of anxiety has increased gradually over the past ...

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

In Review Exercises 1 to 6, use the figure shown. Construct a right triangle so that one leg has length AB and ...

Elementary Geometry For College Students, 7e

A more accurate approximation to E[h(X1, . . . , Xn)] in Exercise 95 is h(1,n)+1212(2hx12)++12n2(2hxn2) Compute...

Probability and Statistics for Engineering and the Sciences

Interpretation The following histograms are based on different random samples of size 100 drawn form the same p...

Understanding Basic Statistics

Use the pie chart What is Your Favorite Cookie? to find the decimal and reduced fraction equivalent for exercis...

Contemporary Mathematics for Business & Consumers

Exercises 40. Prove or disprove: If every nontrivial subgroup of the group is cyclic, then is a cyclic group....

Elements Of Modern Algebra

Find each of the following values for the distribution shown in the following polygon. n SW X X2

Statistics for The Behavioral Sciences (MindTap Course List)

For a math test on which the mean score was 59 and the standard deviation was 4, what is the probability that a...

Essentials Of Statistics

For problems 27-54, simplify each of the numerical expressions. Objective 2 and 3 2333

Intermediate Algebra

Solve the equations in Exercises 112 for x (mentally, if possible). 34x+1=0

Finite Mathematics

Draw each of the following angles in standard position, find a point on the terminal side, and then find the si...

Trigonometry (MindTap Course List)

In Exercises 25 to 36, determine whether each statement is true or false. If the statement is false, give a rea...

Mathematical Excursions (MindTap Course List)

50. Profit A new firm loses $4000 in its first month, but its profit increases by $800 in each succeeding month...

Mathematical Applications for the Management, Life, and Social Sciences

Classify each number as prime or not prime: 87

Elementary Technical Mathematics

Think About It In Exercises 93-96, create a function whose graph has the given characteristics. (There is more ...

Calculus: Early Transcendental Functions (MindTap Course List)

Explain how the following formula used in Example 6 was obtained: V=43R3-43r3

Elementary Geometry for College Students

In Exercises 110, evaluate the expression. 20!

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding a Polar Equation In Exercises 123-126, find a polar equation Tor the conk with its focus at the pole an...

Calculus (MindTap Course List)

A circular tank with radius 1 m and height 2 m is filled with a liquid whose density is 250 kg/m3. Find a defin...

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

Finding the Domain and Range of a Function In Exercises 21-32, find the domain and range of the function. f(x,y...

Multivariable Calculus

True or False: is conservative.

Study Guide for Stewart's Multivariable Calculus, 8th

Measures of nerve conductivity are used in the diagnosis of certain medical conditions. The paper Effects of Ag...

Introduction To Statistics And Data Analysis

On a syndicated television show the two hosts often create the impression that they strongly disagree about whi...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Explain how a simple modification of the posttest-only nonequivalent control group design increases internal va...

Research Methods for the Behavioral Sciences (MindTap Course List)

Given the cutting speed and the tool or workpiece diameter, determine the revolutions per minute in the followi...

Mathematics For Machine Technology

Kate Sanders, a researcher in the department of biology at IPFW university, studied the effect of agriculture c...

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

Identify the appropriate statistical test for each of the following nonexperimental and quasi-experimental desi...

Research Methods for the Behavioral Sciences (MindTap Course List)

Practice Simplify each radical expression. -643

College Algebra (MindTap Course List)

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