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$Evaluate \int_{0}^{10 π} [\tan^{- 1} x] d x, where [\cdot] represents greatest integer function.$

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10π

10π-tan1

10π+tan1

10 π + tan 2

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detailed solution

Correct option is B

Here, y=tan−1⁡x is a monotonic function. We have 0

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Evaluate ∫010π tan−1⁡xdx, where [⋅] represents greatest integer function.

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$Evaluate \int_{0}^{10 π} [\tan^{- 1} x] d x, where [\cdot] represents greatest integer function.$