Integral formulas for area

Integral formulas for area November 29, 2011 During class, I gave the following formula for calculating the area A inside a closed, positively-oriented, contour C: I 1 Im z dz. (1) 2 C The text gives the following formula in Exercise 7, page 163: I 1 z dz. (2) 2i C This seems confusing. Which formula is correct? Well, I derived Equation (1) in class, and so it must be correct. To see what’s wrong with Equation (2), l