[Solution] Use green's theorem to evaluate integral. Assume that the curve C is oriented counterclockwise. \oint_C(e^x+y^2)dx+(e^y+x^2)dy where C is the
Question: Use green's theorem to evaluate integral. Assume that the curve \(C\) is oriented counterclockwise.
\(\oint_{C}{\left( {{e}^{x}}+{{y}^{2}} \right)dx+\left( {{e}^{y}}+{{x}^{2}} \right)dy}\) where \(C\) is the boundary of the region enclosed by \(y={{x}^{2}}\) and \(y=x\) .
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