JEE Main 20178 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002The integral ∫1+2cotx(cosecx+cotx) dx\int {\sqrt {1 + 2\cot x(\cos ecx + \cot x)\,} \,\,dx}∫1+2cotx(cosecx+cotx)dx (0<x<π2)\left( {0 < x < {\pi \over 2}} \right)(0<x<2π) is equal to : (where C is a constant of integration)AOption A. 4 log(sin x2{x \over 2}2x ) + CBOption B. 2 log(sin x2{x \over 2}2x ) + CCOption C. 2 log(cos x2{x \over 2}2x ) + CDOption D. 4 log(cos x2{x \over 2}2x) + CCheckSkip · show solution
