   Chapter 12, Problem 9RE ### 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 1-26. ∫ x 2 x 3 + 1   d x

To determine

To calculate: The value of the integral x2x3+1dx.

Explanation

Given Information:

The provided integral is x2x3+1dx

Formula used:

According to the logarithmic rule of integrals:

1xdx=ln|x|+C

Calculation:

Consider the provided integral:

x2x3+1dx

Now, rewrite the integral by multiplying and dividing by 3 as,

133x2x3+1dx

Now, let x3+1=t, then on obtaining differentials,

3x2dx=dt

Thus, the integral becomes,

133x2x3+1dx=13dtt

Now, use the logarithmic rule of integrals to obtain the above integral as:

133x2x3+1dx

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