Integrate sinx/sinx-cosx..... Plz note sinx-cosx as a whole is in the denominator..

Answer 1

use the good old quotient rule:

if y = u/v, y' = (u'v - uv')/v^2

u = sinx
v = sinx - cosx

y' = [(cosx)(sinx-cosx) - (sinx)(cosx+sinx)]/(sinx-cosx)^2

you can play with that some, but I like

1/(sin(2x)-1)