JEE Main 2016 Mathematics question
The value of the integral , where denotes the greatest integer less than or equal to , is
Answer: (4)
Solution
Notice that , so the integrand is
f(x) = .
The limits satisfy , which invites the king property \int_a^bf(x)dx = \int_a^bf(a+b-x)dx. Replacing by :
f(1
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