Evaluate $\int _ { c } \left( e ^ { x } + \cos x + y \right) d x + \left( \frac { 1 } { 1 + y ^ { 2 } } + y e ^ { y ^ { 2 } } + x \right) d y$

Evaluate $\int _ { c } \left( e ^ { x } + \cos x + y \right) d x + \left( \frac { 1 } { 1 + y ^ { 2 } } + y e ^ { y ^ { 2 } } + x \right) d y$ if C is the path starting at $( 0,0 )$ and going along the line segment from $( 0,0 )$ to $( 1,1 )$ , and then along the line segment from $( 1,1 )$ to $( 2,0 )$ .

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