MathProblemsBank

I.1.42 Double Integrals

Condition: calculate the double integral in the area \ (d \): \ [\ iint_ {d} \ frac {d x d y} {x^{2}+y^{2} +1}, \ quad \ text {where} d: y = \ sqrt {1-x^{2}}}; y = 0 \]

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.