integrate please assoon as possible I=dx/(1-x)^2+x^2

 I tried attaching image, but isisnt impossible

 

(I amnt sure, let the expert confirm about my method.)

 

in these type of questions usually take x^2 common and to get in the denominator x²[ (1/x -1)²+1]. now assume 1/x-1 as t and then differntiate for x² to get cancelled.

Hope you can simplyfy the rest and get.

Hope this clear your doubt too !!!