Recent content by Kaan

I think you are just confused about the Cauchy-Goursat Theorem, it is a one sided implication which states that the integral of an analytic function over a closed contour is 0, but the converse is not generally true. You actually don't need a simply connected region to apply Morera's Theorem...

It will basically work if you know how to switch to polar cordinates.

How about A=Pi/2 B=3Pi/2

since as X -> 4- the numerator will go to -1 and the denominator will go to 0- because x is just a little less than 4 the fraction -1/0- (when 0 is on the left side of the real axis and really close to 0) will give you infinity

I remember something like Ln(z) = Ln(|z|) + iArg(z) where |z| is the amplitude and arg(z) is the angle in radians between the point z and x axis.