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: $\int _ { C } \left( x ^ { 3 } - y ^ { 3 } \right) d x + \left( x ^ { 3 } + y ^ { 3 } \right) d y$ , where C is the boundary of the region between the circles $x ^ { 2 } + y ^ { 2 } = 1$ and $x ^ { 2 } + y ^ { 2 } = 9$ .