\( ∈t 0 π [cot x]dx\) , where \([ ]\) denotes the greatest integer function, is equal to

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Question 38

Mathematics Definite Integrals Hard

\(\displaystyle\int_0^\pi [\cot x]dx\), where \([\bullet]\) denotes the greatest integer function, is equal to

(A) \(\dfrac{\pi}{2}\)

(B) 1

(C) -1

(D) \(-\dfrac{\pi}{2}\)

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Correct Solution: Option D

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