I.1.74 Double Integrals
Condition: moving to polar coordinates, calculate the double integral: \ [\ begin {array} {l} \ iint_ {d} \ sqrt {\ frac {1-x^{2} -y^{2}} {1+x^{2}+y^{2}}} D X D Y \\ D: X {2}+Y^{2} LQ 1, \ QUAD X \ GEQ 0, \ QuADAD y \ geq 0 \ end {Array} \]
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.