   Chapter 13.5, Problem 7E ### 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. 7.   ∫ 0 2 q   d q 6 q + 9

To determine

To calculate: The value of the integral 02qdq6q+9.

Explanation

Given Information:

The provided integral is 02qdq6q+9

Formula used:

For any variable u, the integral formula is,

uduau+b=uaba2ln|au+b|+C

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

Also, for any a, b,

lnalnb = lnab

Calculation:

Consider the provided integral,

02qdq6q+9

The integral is similar to that of the integral formula,

uduau+b

Therefore, the formula used is uduau+b=uaba2ln|au+b|+C

Use the formula uduau+b=uaba2ln|au+b|+C, and compare from the integral 02qdq6q+9

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