For I(x) = ( ^ 2 x - 2022)/ ^ 2022 x dx, if I( /4) = 2^ 1011 , then

JEE Main 2022 Mathematics question

For dx, if , then

Answer: (1)

Writing dx − dx and integrating the first part by parts gives I(x) = tan x (sin . With we get C = 0. So $I(π

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Question ID VK-035053