Weird Integral Problem

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.

gb7nash
Homework Helper
$$\int (x+8)/(x+4)$$

Do polynomial division and it becomes much simpler.

Char. Limit
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.

gb7nash
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.

Char. Limit
Gold Member
That's pretty slick.

Thanks, it's my own little algebraic trick.

Thanks for the help!

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

Char. Limit
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.

Dick
Homework Helper
I think "much much harder" is a srs exaggeration.

Char. Limit
Gold Member
I think "much much harder" is a srs exaggeration.

Well I mean, I learned it the way long division is taught, and I never liked long division. I prefer my method, whether it's called polynomial division or not.

Dick