I.1.72 Double Integrals
Condition: calculate the double integral in the area \ (d \). \ [\ begin {array} {l} \ iint_ {d} \ frac {\ sin \ sqrt {x^{2}+y^}} {\ squrt {x^{2}+y^}} d x d y, \ d: \ d: \ d: \ d: \ d: \ d: \ d: \ d: \ d: \ d: \ d: \ d: \ d: \ d: \ d: x^{2}+y^{2} = \ frac {\ pi^{2}} {9}; x^{2}+y^{2} = \ pi^{2}. \ 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.