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Multivariable Calculus

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Moderate

Line Integral Triangle, x - y

MVCALC-UYGUAG

Evaluate:

$$\oint_{C} e^{x-y} dx + e^{x+y} dy$$

...where $C$ is a the triangle with vertices $(0,0)$, $(1,0)$, and $(1,1)$.

A

$\frac{e^2-3}{2}$

B

$\frac{e^2-2}{2}$

C

$\frac{e^2-1}{2}$

D

$\frac{e^2}{2}$

E

None of the Above