9.4.21 Curvilinear integrals

(3) Problem: Calculate the line integral of the 2 nd kind: \[ \int_{\Gamma} x d y+2 y d x \] where \( \Gamma \) is the contour, formed by the lines \( y= \) \( 0, y=x, y=\sqrt{1-x^{2}} \) with a positive direction of traversal.