
i.1.64 Double integrals
condition: Find the value of the double integral using polar substitution: \[ \iint_{D} \frac{d x d y}{x^{2}+y^{2}} \] where the region of integration is shown in the figure.
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.