[SOLVED] Line integral, Cauchy's integral formula
Let be the frontier of the square whose sides are the lines and . (orientation is positive)
Calculate the following integral using Cauchy's integral formula for a function or its derivative.
My attempt : I find confusing the "using Cauchy's integral formula for a function or its derivative.", I don't really know what they mean by that.
So Cauchy's formula is .
Looking at the integrand of the integral, I see that it is not defined for . Does that mean that is not analytic in this point?
I believe the integral should equals , I don't really know why.
I need help, I find all this new theory somewhat hard to grasp due to the amount of it.