   Chapter 12.3, Problem 19E ### 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. ∫ d z 4 z + 1

To determine

To calculate: The value of the integral dz4z+1.

Explanation

Given Information:

The provided integral is:

dz4z+1

Formula used:

If u is a function of x,

u1udx=uudx=1udu=ln|u|+C

Calculation:

Consider the provided integral:

dz4z+1

Multiply and divide the integral by 4 and rewrite the provided integral as,

144dz4z+1

Use the formula,

u1udx=uudx=1udu=ln|u|+C

And compare from the provided integral

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