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Math
Mathematical Applications for the Management, Life, and Social Sciences11th Edition

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Chapter 13.6, Problem 8E
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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
BuyFindarrow_forward

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(x−1)x−1dx.

Explanation

Given Information:

The provided integral is ∫ln(x−1)x−1dx.

Formula used:

The formula for integration by parts is given by:

∫udv=uv−∫vdu

Calculation:

Consider the provided integral:

∫ln(x−1)x−1dx

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(x−1)

And,

dv=(x−1)−1/2dx

Then,

du=1x−1dx

And,

v=∫(x−1)−1/2dx=2(x−1)1/2

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Chapter 13.6,
Problem 7E
Chapter 13.6,
Problem 9E
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