The value of 8/(π)∫₀^((π)/2) ((cos x)²⁰²³)/((sin x)²⁰²³ + (cos x)²⁰²³)dx is _ _ _ _ _ _

Integral Calculus: JEE Main 2023 Mathematics question

JEE Main 2023 · 24 Jan, Morning shift · Q27

JEE Main 202324 Jan, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

The value of

{8 \over \pi }\int\limits_0^{{\pi \over 2}} {{{{{(\cos x)}^{2023}}} \over {{{(\sin x)}^{2023}} + {{(\cos x)}^{2023}}}}dx}

is ___________

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 · 24 Jan, Morning shift · Q27

JEE Main 202324 Jan, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

The value of

{8 \over \pi }\int\limits_0^{{\pi \over 2}} {{{{{(\cos x)}^{2023}}} \over {{{(\sin x)}^{2023}} + {{(\cos x)}^{2023}}}}dx}

is ___________

Your answerType your answer. Integers and decimals are accepted.