Evaluate the integral ( int_{C} left(2 e^{y}-2 x right) d y+ left(2 x y^{2}+1 right) d x ) using Green's theorem where ( C ) is consists of ( y=4-x^{2} ) and straight line from ( (-2,0) ) to ( (2,0) ) given by the following figure.

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Evaluate the integral  (  int_{C} left(2 e^{y}-2 x right) d y+ left(2 x y^{2}+1 right) d x  ) using Green's theorem where  ( C  ) is consists of  ( y=4-x^{2}  ) and straight line from  ( (-2,0)  ) to  ( (2,0)  ) given by the following figure.

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(Solved): Evaluate the integral \( \int_{C}\left(2 e^{y}-2 x\right) d y+\left(2 x y^{2}+1\right) d x \) using ...

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