   Chapter 13.5, Problem 14E ### 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 y 9 + y 2

To determine

To calculate: The value of integral dy9+y2.

Explanation

Given Information:

The provided integral is dy9+y2.

Formula used:

For any variable u, the integral formula is,

duu2+a2=ln|u+u2+a2|+C.

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

Calculation:

Consider the provided integral:

dy9+y2

The integral can be rewritten as:

dy32+y2

The integral is similar to the integral formula,

duu2+a2

Therefore, the formula used is duu2+a2=ln|u+u2+a2|+C

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