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

Short Answer

Evaluate the line integral $\int _ { C } x y d x + ( x - y ) d y$ , where C is the arc of the circle $x ^ { 2 } + y ^ { 2 } = 1$ from the point $( 1,0 )$ to the point $( 0,1 )$ , followed by the line segment from the point $( 0,1 )$ to the point $( 4,3 )$ .