I.12.13 Vector field circulation

Condition: Find the circulation of the vector \( \vec{a}=2 y \vec{\imath}-3 z \vec{\jmath}+x^{2} \vec{k} \) along the contour Г: \( \left\{\begin{array}{c}x^{2}+z^{2}=1 \\ x=1\end{array}\right. \) using the Stokes formula and directly (the positive direction of traversing the contour is considered to be the one in which the point moves clockwise when viewed from the beginning coordinates).