Differential Equation Involving Natural Log.

[theRukus]

Homework Statement

Calculate the following:
$\int^{-4}_{-6} (x^-1+5x)dx$

Homework Equations

The Attempt at a Solution

I've worked this down to
$ln(-4) + 5(-4) - ln(-6) - 5(-6)<br /> =ln(-4)-ln(-6)+10$
The answer to the left half (the ln parts) of the equation is undefined, and the right is 10..
So... undefined + 10? I'm unsure what to say the definite answer is...

Thank you for any help.

 

[LCKurtz]

The antiderivative is

$$\int \frac 1 x\,dx = \ln |x|+C$$

The absolute value signs matter when x < 0.