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If [ ] denotes the greatest integer function, then the integral ∫[cosx]dx for x ∈ [0, π] is equal to

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If [ ] denotes the greatest integer function, then the integral ∫[cosx]dx for x ∈ [0, π] is equal to

(A) π/2

(B) 0

(C) - 1

(D) - π/2

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Answer is (D) - π/2

See Fig.

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