I.1.70 Double Integrals
Condition: change the integration procedure. \ [\ int_ {0}^{1} d y \ int_ {0}^{\ sqrt {y}} f (x, y) d x+\ int_ {1}^{\ sqrt {2} D Y \ int_ {0}^{\ sqrt {2-y^{2}}} f (x, y) d x. \]
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.