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## Homework Statement

Show that if C is a positively oriented simple closed contour, then the area of the region enclosed by C can be written (1/2i)/∫

_{C}[itex]\bar{}z[/itex]dz.

Note that expression 4 Sec. 46 can be used here even though the function f(z)=[itex]\bar{}z[/itex] is not analytic anywhere.

FORMATTING NOTE: SHOULD BE Z BAR, NOT NEGATIVE Z.

## Homework Equations

exspression 4 sec. 46: ∫

_{C}f(z)dz=∫∫

_{R}(-v

_{x}-u

_{y})dA+i∫∫

_{R}(u

_{x}-v

_{y})dA.