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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
1 of 1
Application +4 | -1
The value of ∫0[x](−x−[x])dx\int\limits_{0}^{[x]}(-x-[x]) d x, is
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Correct option: C
(1/2)[x](1 / 2)[x]
Option C ((1/2)[x](1 / 2)[x]) is correct because the integral simplifies using the periodic property of the function x−[x]x-[x].

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