_ 0 ^ 2 [x^ 2 ] d x , where [ ∙ ] denotes the greatest integer function.
Mathematics · JEE Main · NTA Exams — Integral Calculus
\(\int_{0}^{2}\left[x^{2}\right] d x\), where [ ∙ ] denotes the greatest integer function.
- \(2-\sqrt{2}\)
- \(2+\sqrt{2}\)
- \(\sqrt{2}-1\)
- \(-\sqrt{2}-\sqrt{3}+5\)
Answer
(A) 2- 2
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