menu
bartleby
search
close search
Hit Return to see all results
Subscribe
Sign in

Math
CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

close solutoin list
Chapter 6.1, Problem 4CP
BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 4CP
Problem 5CP
Problem 6CP
Problem 7CP
Problem 1SWU
Problem 2SWU
Problem 3SWU
Problem 4SWU
Problem 5SWU
Problem 6SWU
Problem 7SWU
Problem 8SWU
Problem 9SWU
Problem 10SWU
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
Problem 83E
Problem 84E
BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

Checkpoint 4

Find ∫ x 3 e x   d x

To determine

To calculate: The value of indefinite integral ∫x3exdx.

Explanation

Given Information:

The provided indefinite integral is ∫x3exdx.

Formula used:

The integration by parts ∫udv=uv−∫vdu.

Where, u and v are function of x.

∫eaxdx=eaxa+C

Calculation:

Consider the indefinite integral ∫x3exdx

Here,

dv=exdx and u=x3

First find v,

dv=exdx∫dv=∫exdx

On further solving,

v=ex …… (1)

Now find du,

u=x3

Differentiate both side with respect x,

dudx=d(x3)dxdudx=3x2

And,

du=3x2⋅dx …… (2)

Apply integration by parts formula and substitute equation (1) and (2) in ∫udv=uv−∫vdu,

∫x3exdx=x3ex−3∫x2exdx

Use integration by parts on the second integral ∫x2exdx

Here,

dv=exdx and u=x2

First find v,

dv=exdx∫dv=∫exdx

On further solving,

v=ex …… (3)

Now find du,

u=x2

Differentiate both side with respect x,

dudx=d(x2)dxdudx=2x

And,

du=2x⋅dx …… (4)

Apply integration by parts formula and substitute equation (3) and (4) in ∫udv=uv−∫vdu,

∫x2exdx=x2ex−2∫xexdx

Here,

dv=exdx and u=x

First find v,

dv=exdx∫dv=∫exdx

<

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution
arrow_back
Chapter 6.1,
Problem 3CP
Chapter 6.1,
Problem 5CP
arrow_forward

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 6 Solutions

Show all chapter solutions add
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

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Finding an Inverse Function In 63-68, (a) sketch a graph of the function f, (b) determine an interval on which ...

Calculus: Early Transcendental Functions

(a) Evaluate 0nxdx, where n is a positive integer. (b) Evaluate abxdx, where a and b are real numbers with 0 a...

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 1728, use the logarithm identities to obtain the missing quantity.

Applied Calculus

New Users The number of registered users at OHaganBooks.com has increased substantially over the past few month...

Finite Mathematics and Applied Calculus (MindTap Course List)

Factoring Completely Factor the expression completely. (This type of expression arises in calculus when using t...

Precalculus: Mathematics for Calculus (Standalone Book)

Suppose youre asked to determine the curve that requires the least work for a force field F to move a particle ...

Multivariable Calculus

Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your reasoning. 70.

Calculus: Early Transcendentals

A large university administers entrance exams to all entering students. The test is administered again as an ex...

Essentials Of Statistics

Recent research suggests that the amount of lime that parents spend talking about numbers can have a big impact...

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

Differentiate the function. B(y)=cy6

Calculus (MindTap Course List)

In Exercises 16, find the points of intersection of the graphs of the functions. Express your answer accurate t...

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

Critical Thinking The following ogives come from different distributions of 50 whole numbers between 1 and 60. ...

Understanding Basic Statistics

cores on a standardized reading test for 4th-grade students form a normal distribution with =60 and =20 . What ...

Statistics for The Behavioral Sciences (MindTap Course List)

In a normal respiratory cycle the volume of air that moves into and out of the lungs is about 500 mL. The reser...

Single Variable Calculus

For Problems 79-99, answer the question with an algebraic expression. Objective 3 If n represents an odd intege...

Intermediate Algebra

In problems 1-4, solve the equations 3x+4=4xx+1

Mathematical Applications for the Management, Life, and Social Sciences

The true average diameter of ball bearings of a certain type is supposed to be .5 in. A one-sample t test will ...

Probability and Statistics for Engineering and the Sciences

In Exercises 1 to 20, let U = {1, 2, 3, 4, 5, 6, 7, 8}, A= {2, 4,6}, B = {1, 2,5,8}, and C = {1, 3, 7}. Find ea...

Mathematical Excursions (MindTap Course List)

Solve the equations in Exercises 126. (x+1)(x+2)+(x+1)(x+3)=0

Finite Mathematics

Differentiate the function. y=3ex+4x3

Single Variable Calculus: Early Transcendentals

Let f(x),g(x),h(x)F[x] where f(x) and g(x) are relatively prime and f(x) and h(x) are relatively prime. Prove t...

Elements Of Modern Algebra

Given A=1,2,3,4. B=2, 4,6, 8, and C=1,3,5,7,9. Find: a AB b BC C ABBC

Elementary Geometry For College Students, 7e

Calculate the annual. semiannual, quarterly, and monthly) premiums for the following life insurance policies. F...

Contemporary Mathematics for Business & Consumers

For Questions 1 through 7, fill in each blank with the appropriate word or number. In a 306090 triangle, the hy...

Trigonometry (MindTap Course List)

Change each binary number to decimal form: 11010.1001

Elementary Technical Mathematics

Distance A ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.8 lh feet. Find t...

Calculus of a Single Variable

True or False? In Exercises 79 and 80, determine whether the statement is true or false. If it is false, explai...

Calculus: Early Transcendental Functions (MindTap Course List)

FERTILIZER COSTSA farmer uses two types of fertilizers. A 50lb bag of Fertilizer A contains 8lb nitrogen, 2lb o...

Finite Mathematics for the Managerial, Life, and Social Sciences

In Exercises 27 to 35, complete the formal proof of each theorem. If two angles are congruent, then their bisec...

Elementary Geometry for College Students

bartleby
© bartleby 2019