i.1.71 Double integrals
Condition: Calculate the double integral \( \iint_{D} f(x, y) d x d y \) of the function \( f(x, y) \) over the domain \( D \). \[ f(x, y)=x^{2}+y, \quad D: x=2, y=x^{2}, y^{2}=x \text {. } \]
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.