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Just: A = {-Cos[b] Cos[g] Sin[a] - Cos[a] Sin[g],Cos[a] Cos[b] Cos[g] - Sin[a] Sin[g], Cos[g] Sin[b]}; Integrate[A, {a, 0, 2 Pi}, {b, 0, Pi}, {g, 0, 2 Pi}] {0, 0, 0} If A is a matrix just replace the vector with it.



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