i.1.68 Double integrals
condition: Change the order of integration in the iterated integral. \[ \int_{0}^{2} d x \int_{\sqrt{2 x-x^{2}}}^{2} f(x, y) d y \]
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.