Consider the line integral \(\mathop \smallint \limits_c \left( {xdy - ydx} \right)\) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates to

Consider the line integral \(\mathop \smallint \limits_c \left( {xdy -

1.	Consider the line integral \(\mathop \smallint \limits_c \left( {xdy - ydx} \right)\) the integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of a 2 × 3 rectangle and a semi-circle of radius 1. The line integral evaluates to
A.	6 + π/2
B.	8 + π
C.	12 + π
D.	16 + 2π
Answer» D. 16 + 2π

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