∫((cos^3(x)/(1-sin^(2)) What is the derivative of that integral?

I have been trying to use trig identities but can't find one to simplify this equation. I can't find one for (cos^3(x) or (1-sin^(2))
My options

-sin(x) + C
sin(x) + C
(1/4)cos^(4)(x) + C

None of these

3 answers

Is this supposed to be:

∫((cos^3(x)/(1-sin^2(x)) dx ??

1 - sin^2 x = cos^2 x
because cos^2 x + sin^2 x = 1

so you have

∫ cos(x) dx

the derivative of the integral is what you already have, cos x

the integral is sin x + c
Yes Thank you
Happy to help :)