Evaluate the integral

Question

Evaluate the integral  .

Question options:

1)	2ln|1 - sin2(x)| + C
2)	-csc(x) + C
3)	sec(x) + C
4)	None of these

Answer 1

∫sin x dx/cos²x

let u = cos x then du = -sin x dx

= -∫du/u² = 1/u = 1/cos x = sec x