i.1.41 Double integrals
Condition: Change the order of integration. \[ \int_{0}^{4} d x \int_{\sqrt{4 x-x^{2}}}^{2 \sqrt{x}} f(x, y) d y \]
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.