JEE Main 202224 Jun, Evening shiftMathematicsMediumIntegral Calculus369× since 2002The value of the integral ∫−π/2π/2dx(1+ex)(sin6x+cos6x)\int\limits_{ - \pi /2}^{\pi /2} {{{dx} \over {(1 + {e^x})({{\sin }^6}x + {{\cos }^6}x)}}}−π/2∫π/2(1+ex)(sin6x+cos6x)dx is equal toAOption A. 2π\piπBOption B. 0COption C. π\piπDOption D. π2{\pi \over 2}2πCheckSkip · show solution
