`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)/(cos x+sqrt(3)sin x)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

int1/(cosx+sqrt(3)sinx)\ dx is equal to (a) logtan(pi/3+x/2)+C (b) logtan(x/2-pi/3)+C (c) 1/2logtan(x/2+pi/3)+C (d) none of these

int1/(cosx+sqrt(3)sinx)\ dx is equal to logtan(pi/3+x/2)+C (b) logtan(x/2-pi/3)+C (c) 1/2logtan(x/2+pi/3)+C (d) none of these

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

Evaluate: int(cosecx)/(logtan(x/2))dx

int(dx)/(sqrt(3)sin x+cos x)=A log_(e)tan(Bx+c)+K then (A)A=(1)/(2)(B)B=-(1)/(2)(C)C=(pi)/(12) (D) C=(pi)/(4)

Find (dy)/(dx) if y = logtan^(-1)x+e^(2x) .

int_1^(sqrt(3))1/(1+x^2)dx is equal to a. pi/(12) b. pi/4 c. pi/6 d. pi/3

int_0^3(3x+1)/(x^2+9)dx = (pi^)/(12)+log(2sqrt(2)) (b) (pi^)/2+log(2sqrt(2)) (c) (pi^)/6+log(2sqrt(2)) (d) (pi^)/3+log(2sqrt(2))