Question

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

Answer 1

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

Answer 2

you might want to try the Weierstrass substitution

http://planetmath.org/encyclopedia/WeierstrassSubstitutionFormulas.html

Answer 3

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

Answer 4

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

Answer 5

that solution uses the Weierstrass substitution ;)

Answer 6

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

Answer 7

AP Calculus?