The value of _ 0 ^ [x] (x-[x]) d x is, where [ ∙ ] is the greatest integer function.
Mathematics · JEE Main · NTA Exams — Integral Calculus
The value of \(\int_{0}^{[x]}(x-[x]) d x\) is, where [ ∙ ] is the greatest integer function.
- \([\mathbf{x}]\)
- \(2[x]\)
- \(\frac{1}{2}[\mathbf{x}]\)
- None of these
Answer
(C) 1 2 [ x ]
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