Question

integration of sec^2x/tanx​

Answer 1

Answer to your question. This might help

Answer 2

Answer:

Answer:

You have to remeber that  

sec 2 ( x )  is the derivative of  tan ( x )  

Explanation:

So:

∫ sec 2 x tan x d x = ∫ tan x d ( tan x ) = tan 2 x 2

Step-by-step explanation:

You can also see this this way:

    ∫ sec ^2  x tan x d x = ∫ sec x ( sec x tan x ) d x  

If  u = sec x  then  d u = sec x tan x d x

 so  = ∫ u d u = u 2 2 = sec 2 x 2 + C

This is equivalent to the other answer of  tan 2 x 2 + C  because  tan

2 x  and  sec 2 x  are only a constant away from one another through the equality  tan 2 x + 1 = sec 2 x .