1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Residue of z/(1+z^n)

  1. Mar 17, 2014 #1
    I can't find the result to

    1. The problem statement, all variables and given/known data
    Have to prove that ∫x/(1+x^n) dx = π/n/sin(2π/n)
    so i'm trying to prove that by starting to find :
    2πi*res(z/(1+z^n), exp(iπ/n))

    but don't know what is res(z/(1+z^n), exp(iπ/n))

  2. jcsd
  3. Mar 17, 2014 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    Try considering the cases where n=1, 2, and 3 and look for a pattern.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Threads - Residue 1+z^n Date
Improper integral convergence from 0 to 1 Saturday at 4:59 PM
Residue at poles of complex function Feb 2, 2018
Residue of an integral Apr 24, 2017
Residue of a series. Apr 23, 2017