MathProblemsBank

I.1.71 Double Integrals

Condition: calculate the double integral \ (\ iint_ {d} f (x, y) d x d y \) from the function \ (f (x, y) \) in the area \ (d \). \ [f (x, y) = x^{2}+y, \ quad d: x = 2, y = x^{2}, y^{2} = x \ text {. } \]

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.