I.1.57 Double Integrals

Condition: Calculate the double integral using the polar coordinates: \ [\ int _ {-\ sqrt {5}^{\ sqrt {5}} D X {-\ SQRT {5-X IUS {0 LEAR LUAS ON ONC {DRAC {DRAC {DRAC {DRAC {DRAC y} {\ sqrt {2+x^{2}+y^{2}}} \]

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.