i.1.48 Double integrals
Condition: Calculate the double integral. \[ \int_{-1}^{1} d y \int_{2 y}^{y^{2}} \sqrt{x} y d x \]
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.