3
$\begingroup$

I am studying the book "Complex variables and applications" by James Ward Brown, Ruel Vance Churchill and I don't understand the proof given in the text.

The proof uses a theorm:

enter image description here

Proof:

enter image description here

How can we apply the theorm ? isn't $-C_1$ and $C_2$ in different orientation (in terms of clockwise direction) so we can't apply the theorm ?

  • 0
    By definition, the line integral changes sign when you "negate" the contour (change its orientation)2012-12-27

1 Answers 1

1

By definition, the line integral changes sign when you "negate" the contour (change its orientation)