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Question:

The value of ∫π/2−π/2 dx[x] + [sinx] + 4, where [t] denotes the greatest integer less than or equal to t, is:

310(4π𕒷)

112(7π𕒹)

112(7π+5)

320(4π𕒷)

Solution:

The correct option is D 320(4π𕒷)
I = ∫π/2−π/2 dx[x] + [sinx] + 4