   Chapter 13.5, Problem 21E ### 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

# Evaluate the integrals in Problems 1-32. Identify the formula used. ∫ d x 9 x 2 − 4

To determine

To calculate: The value of integral dx9x24.

Explanation

Given Information:

The provided integral is dx9x24.

Formula used:

For any variable u, the integral formula is,

duu2a2=ln|u+u2a2|+C

Where, ‘a’ is not a function of u. and C is the constant of integration.

Differentiation of un with respect to u is nun1.

Where n is any real number.

Calculation:

Consider the provided integral:

dx9x24

Multiply and divide the integral by 3.

133dx(3x)222

Let 3x=t

Differentiate both the sides,

3dx=dt

So the integral becomes,

13dtt222

The integral is similar to the integral formula,

duu2a2

Therefore, the formula used is duu2a2=ln|u+u2a2|+C

### 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 the figure, mEFG=68 and m3=33. Find m4.

Elementary Geometry For College Students, 7e

#### Differentiate. f(x)=xx+cx

Single Variable Calculus: Early Transcendentals

#### For f(x) = 10x2, f′(3) = _____. 10 20 30 60

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