The value of the integral … is equal to

Definite Integration

JEE Main 2022 · 24 Jun, Evening shift · Q3435

MathematicsMedium210×since 2002Q3435

The value of the integral

\int\limits_{ - \pi /2}^{\pi /2} {{{dx} \over {(1 + {e^x})({{\sin }^6}x + {{\cos }^6}x)}}}

is equal to

JEE Main 2022 · 24 Jun, Evening shift · Q3435

MathematicsMedium210×since 2002Q3435

The value of the integral

\int\limits_{ - \pi /2}^{\pi /2} {{{dx} \over {(1 + {e^x})({{\sin }^6}x + {{\cos }^6}x)}}}

is equal to