Parallel axis theorem: Difference between revisions

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The moment of inertia relative to the axis {{math|''z′''}}, which is a perpendicular distance {{math|''d''}} along the ''x''-axis from the centre of mass, is
 
:<math>I = \int \left[(x + d)^2 + y^2\right] \, dm.</math>
 
Expanding the brackets yields