Recent content by logmarie

Homework Statement Define the branch cut prior to solving the following: integrate from 0 to infinity of [log x]^4/ [1+x^2] Homework Equations The only poles inside the upper half plane is i The Attempt at a Solution How do I separate the countour?---help. Thanks.

The poles is x= +/- i

How do I start the new threads? Thanks

Questions on Poles I am trying to do my homework on: Integration form 0 to infinity of [( log x)^4 ]/[1+x^2] dx = by first defining what is a branch cut and how it will fit into the above integrand. Thanks Marie

Complex Analysis of Branch Cut I am trying to figure out the following homework questions: 1 a. Say what it means to define a branch cut for log z. Define a branch for log z and give the location of the branch cut. Note make your definition appropriate for part b. 1b. Find integral...