`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 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)/(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)

If sin x+sqrt(3)cos x=sqrt(2) then general solution of x 2n pi+(pi)/(12) 2n pi-(pi)/(12) 2n pi+(5 pi)/(12) 2n pi-(5 pi)/(12)

int_0^(pi^2//4)(sinsqrt(x))/(sqrt(x))dx equals pi^2//8 b. pi//4 c. 2 d. 1

If y=(x^(4)-x^(2)+1)/(x^(2)+sqrt(3)x+1) and (dy)/(dx)=ax+b then the value of a-b is (a)cot((pi)/(8))(b)cot((pi)/(12))(c)tan((5 pi)/(12))(d)tan((5 pi)/(8))

int_0^(pi//2)(sinx)/(s in x+cos x)dx equals to pi//2 b. pi//4 c. pi//3 d. pi

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