I.1.55 Double Integrals
Condition: change the integration procedure and in the most rational way to calculate the integral. \ [\ int _ {-1}^{1} D x \ int _ {-\ sqrt {1-x^{2}}^{1-x^}} y D Y \]
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.