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Definite Integration

JEE Main 2024 (Online) 31st January Evening Shift

INTEGER+4 / -12024

\(\left|\frac{120}{\pi^3} \int_\limits0^\pi \frac{x^2 \sin x \cos x}{\sin ^4 x+\cos ^4 x} d x\right| \text { is equal to }\) ________.

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