   Chapter 12.3, Problem 27E ### 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. ∫ z 2 + 1 z 3 + 3 z + 17 d z

To determine

To calculate: The value of the integral z2+1z3+3z+17dz.

Explanation

Given Information:

The provided integral is:

z2+1z3+3z+17dz

Formula used:

If u is a function of x,

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

Calculation:

Consider the provided integral:

z2+1z3+3z+17dz

Multiply and divide by 3 and rewrite the provided integral as,

133(z2+1)z3+3z+17dz

This integral is similar to the formula,

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

Now compare it with the integral, 133(z2+1)z3+3z+17dz

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