MathProblemsBank

I.1.51 Double Integrals

Condition: Calculate the moment of inertia regarding the axis \ (O Z \) a homogeneous area of the surface \ (Z = \ SQRT {X {2}+Y^RA}}, (0 \ LeQ Z \ LeQ 1) \).

Double and itieded integrals over Various Areas of Integration, Conversion from Cartesian to Polar Coordinates, Calculation of the Jacobian, Changing the Integration, Transformation of Variables in the Integral.