I.1.47 Double Integrals

Condition: draw a region on which a double integral is common, change the integration procedure and record the integral in the polar coordinate system. \ [\ int _ {-2}^{-1} D y \ int _ {-(2+y)}^{0} f (x, y) d x+\ int _} {0} d y \ int _ \ sqrt [3] {y}}^{0}^{0}} f (x, y) d x \]