Evaluate the integral $$\int\limits_{?}^{?} \frac{dx}{1-\sin x \cos x} $$
I've been trying this for a while, any help?

Question

Evaluate the integral $$\int\limits_{?}^{?} \frac{dx}{1-\sin x \cos x} $$ 
I've been trying this for a while, any help?

anonymous · Answer

I tried doing $$\cos x = \sqrt{1-\sin^2 x}$$
And then 
$$u=\sin(x)$$
But it didn't really help...

zarkon · Answer

zarkon · Answer

I haven't tried it yet so I don't know how will it will work on this problem

hero · Answer

$$\int\limits \frac{1}{1-\sin x \cos x} dx$$

hero · Answer

attachment

zarkon · Answer

that solution uses the Weierstrass substitution  ;)

anonymous · Answer

Thanks... I actually posted this on behalf of a friend, I have no clue why he needs to do this in highschool O_O

hero · Answer

AP Calculus?