If R Is the Region Enclosed by a Simple Closed $\int _ { C } y d x + x d y$

Short Answer

If R is the region enclosed by a simple closed positively-oriented curve C, then the area of R is given by _____.
A) $\int _ { C } y d x + x d y$ d. $\frac { 1 } { 2 } \int _ { C } y d x - x d y$ b. $\frac { 1 } { 2 } \int _ { C } x d y - y d x$ e.None of the above
C) $\frac { 1 } { 2 } \int _ { C } y d x + x d y$