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If I=(2)/(pi)int(-pi//4)^(pi//4)(dx)/((1...

If `I=(2)/(pi)int_(-pi//4)^(pi//4)(dx)/((1+e^(sin x))(2-cos 2 x))` then `27 I^(2)` equals __________ .

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JEE ADVANCED PREVIOUS YEAR-MOCK TEST 2022-Question
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