- #1

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## Homework Statement

Find the integral of (x-4)/x^2 dx from 1 to 2.

## Homework Equations

Do I divide the denominator? I got 1/x-4/x^2 from 1 to 2. But what to do next?

## The Attempt at a Solution

The answer is ln(2)-2.

- Thread starter Nerd10
- Start date

- #1

- 28

- 0

Find the integral of (x-4)/x^2 dx from 1 to 2.

Do I divide the denominator? I got 1/x-4/x^2 from 1 to 2. But what to do next?

The answer is ln(2)-2.

- #2

- 392

- 17

There are multiple methods to solve this integral, but the method you chose (dividing through by the denominator) is probably the easiest. The integral of two functions added together is the sum of the individual integrals of the functions: ##\int (f(x)+g(x))dx=\int f(x)dx+\int g(x)dx#### Homework Statement

Find the integral of (x-4)/x^2 dx from 1 to 2.

## Homework Equations

Do I divide the denominator? I got 1/x-4/x^2 from 1 to 2. But what to do next?

## The Attempt at a Solution

The answer is ln(2)-2.

- #3

NascentOxygen

Staff Emeritus

Science Advisor

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Are you able to integrate 1/x^2 ? If so, then multiply the result by -4 and you'll have this problemI got 1/x-4/x^2 from 1 to 2. But what to do next

- #4

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Can it be 1/x^2=x^-2? And I integrate from there?

- #5

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Never mind. I got it. Thanks for the help.

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