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\vtop{\hsize=4.8in \noindent {\bf Problem statement} Suppose $C$ is
the part of the parabola $x=-y(y-1)$ connecting $(0,0)$ to $(0,1)$ as
shown. Compute

$$\int_C \left(e^{(x^2)}+5y+3\right)dx+\left(x^2+5y^{3}\right)dy\,.$$

\noindent {\bf Comment} A direct computation is unreasonable. Use
Green's Theorem to compute a double integral and then also compute
{\it another}\/ simpler line integral. These results can be used to
find the value of the line integral requested.  }

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