S{1+2 tan x(tan x + sec x)}"2 dx is...
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S{1+2 tan x(tan x + sec x)}"2 dx is

JEE/Engineering Exams
Maths
Solution
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( int{1+2 tan x(tan x+sec x)}^{1 / 2} d x ) ( intleft(1+2 tan ^{2} x+2 tan x sec xright)^{1 / 2} d x ) ( =intleft(sec ^{2} x+tan ^{2} x+2 tan x sec xright)^{1 / 2} d x ) ( =ln (sec x+tan x)+sin (sec x mid+c ) ( =ln |sec x(sec x+tan x)|+c )
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