   Chapter 13.5, Problem 4E ### 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. 4.   ∫ d x x 9 − x 2

To determine

To calculate: The value of the integral dxx9x2.

Explanation

Given Information:

The provided integral is dxx9x2

Formula used:

For any variable u, the integral formula is,

duua2u2=1aln|a+a2u2u|+C

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

Calculation:

Consider the provided integral,

dxx9x2

The integral can be rewritten as:

dxx32x2

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

duua2u2

Therefore, the formula used is duua2u2=1aln|a+a2u2u|+C

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