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Let $R$ be the rectangular region with vertices $(0,0), (0,1), (2,0),(2,1)$, $C$ be the boundary of $R$ oriented counterclockwise (see Figure below). Calculate the following two line integrals:

$$I_1=\oint_C xdy$$
$$I_2=-\oint_C ydx$$

A

$$I_1 = I_2 = 1$$

B

$$I_1 = I_2 = 2$$

C

$$I_1 = 1, I_2 = 2$$

D

$$I_1 = 2, I_2 = 1$$

E

$$I_1 = 2, I_2 = -2$$

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