Evaluate the Line Integral $\int _ { C } \left( y + x ^ { 2 } \right) d x + \left( 2 x + \sqrt [ 3 ] { \sin y ^ { 3 } + e ^ { y ^ { 2 } } } \right) d y$

Short Answer

Evaluate the line integral $\int _ { C } \left( y + x ^ { 2 } \right) d x + \left( 2 x + \sqrt [ 3 ] { \sin y ^ { 3 } + e ^ { y ^ { 2 } } } \right) d y$ , where C is the upper half of the circle $x ^ { 2 } + y ^ { 2 } = 1$ from $( 1,0 )$ to $( - 1,0 )$ .