i.4.45 Curvilinear integrals

condition: Calculate the curvilinear integral \[ \int_{L_{A B}}(x y-x) d x+\frac{1}{2} x^{2} d y \] where \( L_{A B}- \) the arc of the parabola \( y^{2}=4 x \) from the point \( A(0 ; 0) \) to the point \( B(1 ; 2) \).