   Chapter 13.5, Problem 31E ### 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 4 x 2 + 7

To determine

To calculate: The value of integral dx4x2+7.

Explanation

Given Information:

The provided integral is dx4x2+7.

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:

dx4x2+7

Multiply and divide the integral by 2, and rewrite the integral as,

122dx(2x)2+7

Now, use the formula duu2+a

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