
i.4.41 Curvilinear integrals
condition: Calculate the line integral \( \oint_{L} P d x+Q d y \) along the closed contour \( L \) in the positive direction using Green's formula. \( P=\sqrt{x^{2}+y^{2}}-7 y, Q=y \ln \left(x+\sqrt{x^{2}+y^{2}}\right): \) \( L \) - circle of radius 1 with center at point \( (1,1) \).