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Original Message (ID '153709') By Nasser M. Abbasi:
I asked some folks on this at a different Mathematica forum (stackexchange) who know more about this than me. Mathematica result is correct. Apparently the results are equivalent. Since this is an indefinite integral, there is a constant additive constant which makes the 2 results equivalent mathematically. mathematicaAnswer = Integrate[Cos[x]/Sin[x]^3, x]; possibleCorrectAnswer = -1/(2 Sin[x]^2); Simplify[mathematicaAnswer - possibleCorrectAnswer] which give 1/2. also see Plot[mathematicaAnswer - possibleCorrectAnswer, {x, -Pi, Pi}] so, not a bug. But I agree, the form given is kind'a strange but not wrong.