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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
Let f(x)=x−[x]f(x)=x-[x], where [x][x] is the integral part of xx. Then∫−11f(x)dx=\int\limits_{{-1}}^1 f(x) d x=
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Correct option: A
1
Option A (1) is correct because the integral of the fractional part function from -1 to 1 equals 1.

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