1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    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!

Homework Help: Complex Contour Integral

  1. Aug 10, 2014 #1
    Hi I'm really not sure how to start this question. I could do it if it was in terms of z but I'm not sure if trying to change the variable using z = x + iy is correct. If anyone could suggest a method I'd appreciate it.

    ∫(x3 - iy2)dz

    along the path z= [itex]\gamma(t)[/itex] = t + it3, 0≤t≤1

  2. jcsd
  3. Aug 10, 2014 #2


    User Avatar
    Homework Helper

    I think it's safe to assume that [itex]z = x + iy[/itex] if nothing to the contrary is given.

    You have [itex]z = \gamma(t)[/itex] so [itex]dz = \gamma'(t)\,dt[/itex] and [itex]x[/itex] and [itex]y[/itex] are respectively the real and imaginary parts of [itex]\gamma(t)[/itex].
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted