I.1.60 Double Integrals

Condition: calculate the integral \ (\ iint _ {\ delta} \ left (3 x^{2} -2 x y+y+y \ right) d x d y \) if the integration area \ (\ delta \) is limited by lines \ (x = 0, x = y^{2}, y = 2 \).

Double and itieded integrals over Various Areas of Integration, Conversion from Cartesian to Polar Coordinates, Calculation of the Jacobian, Changing the Integration, Transformation of Variables in the Integral.