   Chapter 13.5, Problem 1E ### 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. 1.   ∫ d x 16 − x 2

To determine

To calculate: The value of the integral dx16x2.

Explanation

Given Information:

The provided integral is dx16x2.

Formula used:

For any variable u, the integral formula is,

dua2u2=12aln|a+uau|+C

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

Calculation:

Consider the provided integral,

dx16x2

Now, the integral can be rewritten as,

dx42x2

The denominator of the integral is similar to that of the denominator in the integral formula,

dua2u2

Therefore, the formula used is dua2u2=12aln|a+uau|+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

#### Find more solutions based on key concepts 