   Chapter 12.3, Problem 29E ### 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. ∫ x 3 − x 2 + 1 x − 1 d x

To determine

To calculate: The value of the integral x3x2+1x1dx.

Explanation

Given Information:

The provided integral is:

x3x2+1x1dx

Formula used:

According to the power rule of integrals:

xndx=xn+1n+1+C

According to the logarithmic rule of integrals:

1x±ndx=ln|x±n|+C

Calculation:

Consider the provided integral:

x3x2+1x1dx

Perform the long division of integrand as:

x1x2x3x2+1x3x2    _              1

Thus:

x3x2+1x1=x2+1x

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