# Weird Integral Problem

Totalderiv

## Homework Statement

$$\int (x+8)/(x+4)$$

N/a

## The Attempt at a Solution

I tried to split the problem which resulted in:

$$\int x/(x+4) + \int 8/(x+4)$$

But now I'm stuck,and this is a bonus question on my AP Calculus homework.

Homework Helper
$$\int (x+8)/(x+4)$$

Do polynomial division and it becomes much simpler.

Gold Member
It might help to factor it like this:

$$\frac{x+8}{x+4} = \frac{(x+4)+4}{x+4}$$

Then use the same trick you did.

Homework Helper
It might help to factor it like this:

$$\frac{x+8}{x+4} = \frac{(x+4)+4}{x+4}$$

Then use the same trick you did.

That's pretty slick.

Gold Member
That's pretty slick.

Thanks, it's my own little algebraic trick.

Totalderiv
Thanks for the help!

Homework Helper
Thanks, it's my own little algebraic trick.
It is, of course, the same as the "polynomial division" that gb7nash suggested.

Gold Member
It is, of course, the same as the "polynomial division" that gb7nash suggested.

Srsly? The way I learned polynomial division is much, much harder.