Answer :

To find:


Formula Used:


1.


2. sec2 x = 1 + tan2 x


Dividing the given equation by cos2x in the numerator and denominator gives us,


… (1)


Let y = tan x


dy = sec2 x dx … (2)


Also, y2 = tan2 x


i.e., y2 = sec2 x – 1


sec2 x = y2 + 1 … (3)


Substituting (2) and (3) in (1),





Since y = tan x,



Therefore,



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