Integration with branch cuts

1. Apr 22, 2009

krindik

Hi,

I find integration with branch cuts difficult to grasp.
For example, I can understand that $$\sqrt{x}$$ is mutivalued and has 2 branches if we take a branch cut from 0 to +infty. But given it to be integrated from -infty to +infty what is the the meaning of taking a branch of $$\sqrt{x}$$ ?

Could u pls give me some pointers to look or guide me with this example?

I hope to find answers to integrals like $$\sqrt{(x-1){x-2}}$$

2. Apr 7, 2010