EC > GATE 2019 > Vector Calculus
Consider the line integral ∫C(xdy-ydx), the integral being taken in a counterclockwise 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

Correct : c

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