I.1.67 Double Integrals

Condition: calculate the double integral in the area \ (d \): \ [\ iint_ {d} \ frac {d x d y} {\ sqrt {1-x^{2} -y^{2}}}}; \ quad d: 0 \ leq x^{2}+y^{2} \ leq 1; X \ LeQ Y \ Text {. } \]

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.