# 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