Solution to Finding the Integral of (x-4)/x^2 from 1 to 2

[Nerd10]

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.

 

[scurty]

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.

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: $\int (f(x)+g(x))dx=\int f(x)dx+\int g(x)dx$

 

[NascentOxygen]

I got 1/x-4/x^2 from 1 to 2. But what to do next

Are you able to integrate 1/x^2 ? If so, then multiply the result by -4 and you'll have this problem half-solved.

 

[Nerd10]

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

 

[Nerd10]

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