i.1.62 Double integrals
Condition: Draw the region to which the double integral is extended, change the order of integration and write 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 iterated integrals over various areas of integration, conversion from Cartesian to polar coordinates, calculation of the Jacobian, changing the limits of integration, transformation of variables in the integral.