   Chapter 13.6, Problem 8E ### 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 1-16, use integration by parts to evaluate the integral. ∫ ln ( x − 1 ) x − 1 d x

To determine

To calculate: The value of the integral ln(x1)x1dx.

Explanation

Given Information:

The provided integral is ln(x1)x1dx.

Formula used:

The formula for integration by parts is given by:

udv=uvvdu

Calculation:

Consider the provided integral:

ln(x1)x1dx

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=ln(x1)

And,

dv=(x1)1/2dx

Then,

du=1x1dx

And,

v=(x1)1/2dx=2(x1)1/2

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