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Definite Integration question

2019 · Shift 1 · Q34

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PYQ Library
JEE Advanced
Mathematics
Definite Integration
2019 · Shift 1 · Q34

Definite Integration question

2019 · Shift 1 · Q34

JEE AdvancedMathematicsDefinite IntegrationNumerical+3 / −1

If

I = {2 \over \pi }\int\limits_{ - \pi /4}^{\pi /4} {{{dx} \over {(1 + {e^{\sin x}})(2 - \cos 2x)}}}

, then 27I2 equals .................

Numerical answer

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