MathProblemsBank

I.1.43 Double Integrals

Condition: calculate the double integral \ (\ iint_ {d} f (x; y) d x d y \) in the area \ (d \) with a given border \ (\ partial d \). \ [f (x; y) = y-2 x, \ quad \ partial d: \ left \ {\ begin {arry} {c} y = x^{2}, x+y = 2 \\ y = 0 \ end {array} \ right \}. \]

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.