Question
Integrate sinx/sinx-cosx..... Plz note sinx-cosx as a whole is in the denominator..
Answers
Steve
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)
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)