Surface integral

Discussion in 'Homework' started by TheImperial, Nov 25, 2014.

  1. TheImperial

    TheImperial Well-Known Member

    [​IMG]
    [​IMG]
    Just can't figure it out. Need help.
     
  2. Eutychius

    Eutychius Moderator

    First, you need to solve for your axis of reference. For example, solve it as an expression of y.

    Then use double integrate but having a maximum and minimum value (Idk the english term) which is -R and R in both integrals if we are talking about the area of the entire sphere. Integrate normally with x and z to conclude.
     
  3. TheImperial

    TheImperial Well-Known Member

    The area is in picture. The fucking circle that is defined by crossing of a plane and a sphere. I don't know how to integrate this shit at all. I tried everything.
     
  4. Eutychius

    Eutychius Moderator

    I'll think about it and get back to you.

    Btw, you need to find the area of the circle by integration?
     
  5. TheImperial

    TheImperial Well-Known Member

    no. see 2nd picture.
     
  6. Eutychius

    Eutychius Moderator

    Just calculate this integral? It's not as horrifying as I thought :p

    You take the below equations as given or did you calculate them yourself?
     
  7. TheImperial

    TheImperial Well-Known Member

    originally i need to
    [​IMG]

    and now i see that im a fucking idiot and that surface integral i posted is indeed an area.
     
  8. Eutychius

    Eutychius Moderator

    So I guess my work here is done :p ( I can still try to calculate it if you want)
     
  9. TheImperial

    TheImperial Well-Known Member

    i wouldn't mind
     
  10. Eutychius

    Eutychius Moderator

    The answer I got is 4*sqrt(3) but I'm not sure I got it right.
     
  11. TheImperial

    TheImperial Well-Known Member

    where is pi?

    i have 4pi/(3sqrt(3))
     
    Last edited: Nov 25, 2014
  12. Eutychius

    Eutychius Moderator

    Yeah, I knew I've missed it somewhere.
    I was gonna go back and check the calculations for errors and stuff I missed, but I got bored :p