   Chapter 8.5, Problem 34E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

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

# Integration by Parts In Exercises 33-38, use integration by parts to find the indefinite integral. ∫ x   sin   5 x   d x

To determine

To calculate: The integral of xsin5xdx.

Explanation

Given Information:

The provided integral is xsin5xdx.

Formula used:

Write the formula used in integration by parts method.

pqdx=pqdxp(qdx)dx

Here, p=p(x) and q=q(x)

Write the formula of integral of sinu.

sinudu=cosu+C

Write the formula of integral of cosu.

cosudu=sinu+C

Write the formula for derivative of un.

ddxun=nun1

Calculation:

The provided integral is,

xsin5xdx

Use the formula of integration by parts to find integral of above expression.

xsin5xdx=xsin5xdxddxx(sin5xdx)dx=xsin5xdx1(sin5xdx)dx

Here, p=x and q=sin5x

Multiply and divide by 5.

xsin5xdx=x5(sin5x)5dxI151((sin5x)5dx)dxII

Again, multiply and divide by 5 in part II

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

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

Get Started

#### In problems 11-16, write in radical form.Do not simplify. 16.

Mathematical Applications for the Management, Life, and Social Sciences

#### Find the derivative of the function. y = x2e3x

Single Variable Calculus: Early Transcendentals

#### Find for defined implicity by .

Study Guide for Stewart's Multivariable Calculus, 8th 