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Definite Integration question

2024 · 31 Jan · Shift 2 · Q53

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PYQ Library
JEE Main
Mathematics
Definite Integration
2024 · 31 Jan · Shift 2 · Q53

Definite Integration question

2024 · 31 Jan · Shift 2 · Q53

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

\left|\frac{120}{\pi^3} \int\limits_0^\pi \frac{x^2 \sin x \cos x}{\sin^4 x+\cos^4 x} dx\right|

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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