Question

for 0 less than or equal to x less than pi/2, an antiderivative of 2tanx is?

Answer 1

Do you have to derive it yourself?

Answer 2

I have to find the anti derivative of it. My friend told me that the answer if ln(sec2x) but I'm not sure how to get that

Answer 3

have you guys done solving integrals by substitution ?

Answer 4

yes

Answer 5

so you know you can write tan(x) as sin(x)/cos(x)
and sub u=cos(x)

Answer 6

\[\int\limits \frac{\sin(x)}{\cos(x)}dx \\ u=\cos(x) \\ \frac{du}{dx}=-\sin(x) \\ -du= \sin(x) dx\]