If f( ) = _ 1 ^ ( _ 10 t)/(1 + t) dt, > 0, then f(e^ 3 ) + f(e^ -3 ) is equal to :

JEE Main 2022 Mathematics question

If t)/(1 + t) dt, , then is equal to :

Answer: (4)

Put t = 1/x in t)/(1 + t)dt: it becomes ln x/(x(x + 1))dx. Adding to $ = (1/ 10)

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Question ID VK-035150