The value of the integral 48/(π ⁴)∫₀^π ((3π x²)/2 - x³)(sin x)/(1 + cos ²x)dx is equal to _ _ _ _ _.

Integral Calculus: JEE Main 2022 Mathematics question

JEE Main 2022 · 26 Jun, Morning shift · Q34

JEE Main 202226 Jun, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

The value of the integral

{{48} \over {{\pi ^4}}}\int\limits_0^\pi {\left( {{{3\pi {x^2}} \over 2} - {x^3}} \right){{\sin x} \over {1 + {{\cos }^2}x}}dx}

is equal to __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Integral Calculus Question with Answer (26 Jun Morning shift, Q34) | JEE Arc

JEE Main 2022 · 26 Jun, Morning shift · Q34

JEE Main 202226 Jun, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

The value of the integral

{{48} \over {{\pi ^4}}}\int\limits_0^\pi {\left( {{{3\pi {x^2}} \over 2} - {x^3}} \right){{\sin x} \over {1 + {{\cos }^2}x}}dx}

is equal to __________.

Your answerType your answer. Integers and decimals are accepted.