   Chapter 12.3, Problem 22E ### 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. ∫ 7 x 2 4 x 3 − 9 d x

To determine

To calculate: The value of the integral 7x24x39dx.

Explanation

Given Information:

The provided integral is:

7x24x39dx

Formula used:

If u is a function of x, then:

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

Calculation:

Consider the provided integral:

7x24x39dx

Multiply and divide by 12 and rewrite the provided integral as:

71212x24x39dx

Let, u=4x39

Now, differentiate from both the sides

So, u=12x2dx

So, this integral is of the form:

uudx

With u=4x39 and u=12x2dx

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