Evaluate the Line Integral $\int _ { C } ( x + y ) d x + x ^ { 2 } d y$

Short Answer

Evaluate the line integral $\int _ { C } ( x + y ) d x + x ^ { 2 } d y$ , where C is the arc of the parabola $y = x ^ { 2 } - x$ from the point $( 1,0 )$ to the point $( 2,2 )$ .