Use Green's Theorem to Evaluate the Line Integral Along the Given

Short Answer

Use Green's Theorem to evaluate the line integral along the given positively oriented curve: $\int _ { C } \left( y ^ { 2 } - \tan ^ { - 1 } x \right) d x + ( 3 x + \sin y ) d y$ , where C is the boundary of the region enclosed by the parabola $y = x ^ { 2 }$ and the line $y = 4$ .