`int 1/(cosx+sqrt3sinx) \ dx` equals (i) `log(tan (x/2+pi/12))+c` (ii) `log(tan (x/2-pi/12))+c` (iii) `1/2*log(tan (x/2+pi/12))+c` (iv) `1/2*log(tan (x/2-pi/12))+c`

int(dx)/(cosx+sqrt(3)sinx) equals: (1) 1/2logtan(x/2+pi/(12))+c (2) 1/2logtan(x/2-pi/(12))+c (3) logtan(x/2+pi/(12))+c (4) logtan(x/2-pi/(12))+c

int(dx)/(cos x+sqrt(3)sin x) equals: (1)(1)/(2)log tan((x)/(2)+(pi)/(12))+c(1)/(2)log tan((x)/(2)-(pi)/(12))+c log tan ((x)/(2)+(pi)/(12))+cquad log tan((x)/(2)-(pi)/(12))+c

int(1)/(sin x+sqrt(3)cos x)dx=(1)/(2)log tan((x)/(2)+(pi)/(3))+c

intdx/(cosx-sinx) is equal to (A) 1/sqrt(2)log|tan(x/2-(3x)/8)|+C (B) 1/sqrt(2)log|cot(x/2)|+C (C) 1/sqrt(2)log|tan(x/2-pi/6)|+C (D) 1/sqrt(2)log|tan(x/2+(3pi)/8)|+C

int_(0)^((pi)/(2))log(tan x)*dx

int(dx)/(cosx-sinx) is equal to a) (1)/(sqrt(2))log|tan(pi/2-pi/8)|+c b) (1)/(sqrt(2))log|cot(x/2)|+c c) (1)/(sqrt(2))log|tan(pi/2-(3pi)/(8))|+c d) (1)/(sqrt(2))log|tan(x/2+(3pi)/(8))|+c

int_0^(pi//2) log(tan x) dx is :

int_0^(pi//2) log(tan x)dx =

int_(0)^(pi//2) log (tan x ) dx=

int_(0)^(pi//2) log | tan x | dx is equal to