
I.1.53 Double Integrals
Condition: Go to the polar coordinates and write down the integral \ (\ iint_ {g} f \ left (\ sqrt {x^{2}+y^{2} \ right) d x d y \) in the form of the second, where \ [g = \ left \ {(x, y): Y): Y): x^{2}+y^{2}+y^{2} +10 y \ leq 0, y \ geq \ sqrt {3} x \ 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.