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Definite Integration question

2022 · 26 Jun · Shift 1 · Q39

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 26 Jun · Shift 1 · Q39

Definite Integration question

2022 · 26 Jun · Shift 1 · Q39

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

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

\underline{\hspace{2cm}}

.

Numerical answer

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