Question

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

JEE/Engineering Exams

Maths

Solution

108

4.0 (1 ratings)

( 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 )