Evaluate:


To find:


Formula used:


1. sec2 x = 1 + tan2x


2.


Dividing by cos4 x in the numerator and denominator of the given equation,




Let y = tan x


dy = sec2 x dx


Substituting in the original equation,



Dividing by y2 in the numerator and denominator,





Let



Therefore,




Substituting for z,




Substituting for y = tan x,



Therefore,



1