i.1.60 Double integrals
condition: Calculate the integral \( \iint_{\Delta}\left(3 x^{2}-2 x y+y\right) d x d y \), if the area of integration \( \Delta \) is limited by the lines \( x=0, x=y^{2}, y=2 \).
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.