   Chapter 12, Problem 17RE ### 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. 17. ∫ 3 x 2 2 x 3 − 7 d x

To determine

To calculate: The value of the integral 3x22x37dx.

Explanation

Given Information:

The provided integral is 3x22x37dx

Formula used:

According to the logarithmic rule of integrals:

1xdx=ln|x|+C

Calculation:

Consider the provided integral:

3x22x37dx

Now, rewrite the integral by dividing and multiplying by 2 as,

126x22x37dx

Now, let 2x37=t, then on obtaining differentials,

6x2dx=dt

Thus, the integral becomes,

126x22x37dx=12dtt

Now, use the logarithmic rule of integrals as,

126x22x3

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