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The value ,of $\int_{0}^{\sqrt{2}} [x^{2}] dx$ where [.] is the greatest integer function

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2−2

2+2

2−1

2−2

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detailed solution

Correct option is C

∫01 x2dx+∫12 x2dx=∫01 0dx+∫12 1dx=(2−1)

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The value ,of ∫02 x2dx where [.] is the greatest integer function

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The value ,of $\int_{0}^{\sqrt{2}} [x^{2}] dx$ where [.] is the greatest integer function