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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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If ∫0x{t}dt=∫0{x}tdt\int_0^x\{t\} d t=\int_0^{\{x\}} t d t (where x>0,x∉Zx>0, x \notin Z and {.} represents fractional part function), then
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Correct option: A
x∈(0,1)x \in(0,1)
Option A (x∈(0,1)x \in(0,1)) is correct because the equation holds true only when x lies in the interval (0, 1).

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