   Chapter 13, Problem 30RE ### 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

# In Problems 27-30, use integration by parts to evaluate. ∫ 0.5 e / 2 6 ln ( 2 x )   d x

To determine

To calculate: The value of the integral 0.5e/26ln(2x)dx.

Explanation

Given Information:

The provided integral is 0.5e/26ln(2x)dx.

Formula used:

The formula for integration by parts is given by:

udv=uvvdu,

Calculation:

Consider the provided integral:

0.5e/26ln(2x)dx

Now, split the integrand into two parts setting one part equal to u and another part equal to dv.

So, the values will be:

u=ln2x

And,

dv=6dx

Then,

du=1xdx

And,

v=6dx

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