JEE Main 2005Annual, Paper 1MathematicsMediumIntegral Calculus369× since 2002The value of ∫−ππcos21+axdx, a>0,\int\limits_{ - \pi }^\pi {{{{{\cos }^2}} \over {1 + {a^x}}}dx,\,\,a > 0,}−π∫π1+axcos2dx,a>0, isAOption A. a πa\,\piaπBOption B. π2{\pi \over 2}2πCOption C. πa{\pi \over a}aπDOption D. 2π{2\pi }2πCheckSkip · show solution