Homework Help: Integration help

1. Dec 9, 2008

mikel542

Integration

find

(integral sign)= (x+1/x+2)+3

2. Dec 9, 2008

strongmotive

If (x+1/x+2) is one term (not sure you have written it correctly), ((x+1/x+2)^2)/2 +3x

You raise the term to the next power and divide the whole thing by that power.

3. Dec 9, 2008

Dick

Dead wrong. Differentiate that and use the chain rule. It doesn't work. You have to integrate each term separately. Integrate x, 1/x, 2 and 3 and add the results.

4. Dec 9, 2008

Staff: Mentor

What exactly is the problem? "(integral sign) = <whatever>" makes no sense to me. Is this the problem?
$$\int (\frac{x + 1}{x + 3} + 3)dx$$

Or is this it?
$$\int (x + 1/x + 2 + 3)dx$$
I suspect that this is not what you meant, although Dick interpreted what you wrote that way.

If the first integral is the one you meant, you'll need to divide (x + 1) by (x + 2), which will give you 1 + (some number)/(x + 2).

5. Dec 9, 2008

icystrike

to thread starter :
if it is the first integral that Mark is referring to, you should most probably get 4x-ln(x+2)

6. Dec 9, 2008

Dick

I'm not sure giving the answer is really the way we give help here, is it?