# Rational function integration

1. Jan 14, 2009

### Oblivionator

Evaluate the integral:

int ((x+1)/(x-1)) dx

is this possible?

i tried searching for this but there was no answer

2. Jan 14, 2009

### lurflurf

(x+1)/(x-1)=[(x-1)+2]/(x-1)=1+2/(x-1)

Have you ever seen a function g such that g'=f'/f
?

3. Jan 14, 2009

### Oblivionator

(x+1)/(x-1)=[(x-1)+2]/(x-1)=1+2/(x-1)

im having problems integrating ((x+1)/(x-1)) dx

4. Jan 14, 2009

### Oblivionator

no wait, could you please fully solve the problem?

5. Jan 14, 2009

### HallsofIvy

Staff Emeritus
If you cannot do basic algebra you are going to have great difficulty integrating any function. The above is just simple division. And you can see it is true just by adding the fractions on the right hand side.

It would be much better for you to try yourself. Do you know the anti-derivative of 1/x?

6. Jan 14, 2009

### Oblivionator

no, not yet but thank you

7. Jan 14, 2009

### HallsofIvy

Staff Emeritus
Then why in the world are you trying to do this problem?

8. Jan 15, 2009