Question

integrate sec(x)tan(x)

Answer 1

derivative of sec x = sec x tan x

Answer 2

then would I add C to that

Answer 3

yeah

Answer 4

I would not need to show any proof for the derivative of sec x?

Answer 5

depends, its an identity but if you do just use power rule and chain rule

\[\sec x = \cos^{-1} x\]

Answer 6

I thought I had to find the antiderivative?

Answer 7

you should really write \[(\cos(x))^{-1}\] and not \[\cos^{-1}(x)\]

Answer 8

oh right sorry not my intention
thanks @Zarkon

Answer 9

@Sally127 , yes we found the anti-derivative by knowing that the derivative of answer is original function

\[\int\limits f'(x) dx = f(x)\]

Answer 10

oh ok thank you!!

Answer 11

yw :)