   Chapter 13.6, Problem 26E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 25-30, select the formula or method (I-IV) that should be used to evaluate each integral. Then evaluate the integral.Integration by partsII. ∫ e u d u III. ∫ d u u IV ∫ u n   d u ∫ x 9 − 4 x 2   d x

To determine

To calculate: The value of the integral x94x2dx.

Explanation

Given Information:

The provided integral is x94x2dx.

Formula used:

According to the logarithmic rule of integrals,

duu=ln|u|+C

Differential formula,

d(xn)dx=nxn1

Calculation:

Consider the provided integral:

x94x2dx

The integral is similar to the formula duu.

Now to evaluate further,

Multiply and divide by 8 and rewrite the provided integral as,

188x94x2dx

Now, let 94x2=t and differentiate by the use of differential formula, d(xn)dx=nxn1

8xdx=dt

Thus, the integral becomes,

188x94</

### 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

#### Evaluate the indefinite integral. y2(4y3)2/3dy

Single Variable Calculus: Early Transcendentals, Volume I

#### Convert the expressions in Exercises 6584 to power form. xx

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Show that the points (3, 4), (3, 7), (6, 1). and (0, 2) form the vertices of a square.

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

#### In Exercises 724, compute the indicated products. 

Finite Mathematics for the Managerial, Life, and Social Sciences

#### True or False: x2x24dx should be evaluated using integration by parts.

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