The value of ∫ - π /2 ^(π /2) (cos ²x)/(1 + 3ˣ) dx is:

Integral Calculus: JEE Main 2021 Mathematics question

JEE Main 2021 · 26 Feb, Morning shift · Q3397

JEE Main 202126 Feb, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

The value of

\int\limits_{ - \pi /2}^{\pi /2} {{{{{\cos }^2}x} \over {1 + {3^x}}}} dx

is :

JEE Main 2021 · 26 Feb, Morning shift · Q3397

JEE Main 202126 Feb, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

The value of

\int\limits_{ - \pi /2}^{\pi /2} {{{{{\cos }^2}x} \over {1 + {3^x}}}} dx

is :