= Odd-integrand cancellation by reflection
If a region is invariant under one coordinate reflection and an integrable function changes sign under that reflection, its <multiple integral> is zero. Apply the <change of variables formula> to the reflection, whose absolute <Jacobian determinant> is one: the integral equals its negative. This applies to odd coordinate powers in symmetric volumes and to the off-diagonal entries of an <inertia tensor> when the <mass density> shares the coordinate-reflection symmetries.
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