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!

Not sure if this surface integral is right

  1. Feb 2, 2013 #1
    1. The problem statement, all variables and given/known data
    16jqcw.png




    3. The attempt at a solution

    I did the manual integration of part (i) and got an answer of 5/6 instead, i'm not sure which part is wrong.. For the surfaces, I start off with the surface in the x-z plane, then the slanted plane, then the y-z plane, then the top of the prism and finally the bottom of the prism.

    For the slanted plane, I projected it onto the x-z plane to do the integration..

    Part (a)
    2dtngx0.png
    k2beox.png
     
    Last edited: Feb 2, 2013
  2. jcsd
  3. Feb 2, 2013 #2

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    I see two errors in the face by face method.
    You have the sign of the normal wrong in the first and third faces. The direction is always outwards.
    For the second face, you correctly had ∫xy2+x2, but went wrong in the next line.
     
  4. Feb 3, 2013 #3
    Thanks! I will try again.
     
  5. Feb 3, 2013 #4
    Finally got the answer as 1/4 ! Thanks alot!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook