# Math Help - integration

1. ## integration

hello..it would be of great help if someon could tel me how to integrate

(x+1)/(x-1)

thank u so much

2. Originally Posted by ayemana
hello..it would be of great help if someon could tel me how to integrate

(x+1)/(x-1)

thank u so much
In cases like that one, just divide, by long division.

(x+1) divided by (x-1) equals 1, remainder 2.
Or, 1 +2/(x-1)

So,
INT.[(x+1)/(x-1)]dx
= INT.[1 +2/(x-1)]dx
= x +2ln|x-1| +C

3. Originally Posted by ayemana
(x+1)/(x-1)
$\frac{x+1}{x-1}=\frac{x-1+2}{x-1}=1+\frac2{x-1}$

Integrate.