Please answer my question quickly if you can please.............

Multiplying Nr. & Dr. by cosec²x

=> I = int {{(3cosec^{2}x+ 2cot x cosec x) } / (2cosec x +3cot x)^2  }dx


        = - int {{(-3cosec^{2}x- 2cot x cosec x) } / (2cosec x +3cot x)^2  }dx

  Let us consider 2cosec x +3cot x=t

  then    dt = (-3cosec^{2}x- 2cot x cosec x).dx

         =int (dt / t^2)

        integrate it then we get

        ={1} / {(2cosec x +3cot x)} 


        ={sin x}  / {2+3cos x} +c