I.1.62 Double Integrals

Condition: draw a region on which a double integral is common, change the integration procedure and record the integral in the polar coordinate system. \ [\ int _ {-2}^{2} D y \ int _ {-2- \ sqrt {4-y^{2}}}^{y} f (x, y) d x \]

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.