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∫₀^π [cot x] dx, where [.] denotes the greatest integer function, is equal to:

1. 1
2. -1
3. -π/2
4. π/2

Correct answer: -π/2

Solution

The integral of cot(x) over the interval from 0 to π results in a value of -π/2, as the cotangent function approaches infinity at the endpoints and has a negative area under the curve in this range.

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