
i.1.44 Double integrals
condition: Calculate the double integral over the specified area: \[ \iint_{D}\left(2 x-3 y^{2}\right) d x d v ; \quad D: x=0, y=x, y=2 \]
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.