
i.1.76 Double integrals
Condition: Calculate in polar coordinates \( \iint_{D} y d x d y(y \geq 0) \), where \( D \) is limited by the line \( x^{2}+y^{2}=2 a x \)
Double and iterated integrals over various areas of integration, conversion from Cartesian to polar coordinates, calculation of the Jacobian, changing the limits of integration, transformation of variables in the integral.