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Integrate This

  1. Dec 29, 2005 #1

    samalkhaiat

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    Happy new year for you all,
    This is very nice place, So girls and boys, let me give you something to play with:
    Integrate (r^.a)(r^.b)(r^.c)(r^.d) d(cos8)
    from cos8=1 to cos8=-1.
    a,b,c and d are constant vectors, r^ is the unit vector
    (iX+jY+kZ)/|r|, 8 is the spherical angle between r^ and Z-axis.
    The dot represents the scalar product.:approve:
    When you have done that, do this one:

    (a.r^)/(1+K.r^) d(cos8)
    the limits of integration same as befor, a and K are constant vectors.

    cheers

    sam
     
  2. jcsd
  3. Dec 29, 2005 #2
    plzzzzzzzzzzzzzzzzzzzzz take sometime and learn latex
     
  4. Dec 29, 2005 #3

    Tom Mattson

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    :rofl: :rofl:

    I have to agree, I can't really tell what's supposed to be going on there with the carets. And integrating with respect to the number 8? Is that really what you meant?
     
  5. Dec 30, 2005 #4

    Lisa!

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    I've not noticed we could use [tex]8[/tex] instead of [tex]\theta [/tex] !:bugeye:
     
    Last edited: Dec 30, 2005
  6. Dec 30, 2005 #5

    Tide

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    [tex]\frac {2}{5} a b c d[/tex]

    I was tempted to say 0 because 8 is usually a constant so that d cos(8) = 0. ;)
     
  7. Dec 30, 2005 #6

    samalkhaiat

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    [
    [/QUOTE]

    1) I don't have that "sometime".:rolleyes:
    2) It is to complicated for my little brain.:cry:

    sam
     
  8. Dec 30, 2005 #7
    1) I don't have that "sometime".:rolleyes:
    2) It is to complicated for my little brain.:cry:
    sam[/QUOTE]

    just click on the equations and see how they wrote it... im sure youd figure it out...
     
  9. Dec 30, 2005 #8

    Pengwuino

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    Find time :)

    And if you can integrate, i don't think its too complicated for you... especially with a program such as texaide
     
  10. Dec 30, 2005 #9

    samalkhaiat

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    [
    The carets used to distinguish between a vector and its "unit vector":rofl::rofl:
    [/QUOTE]
    No. The 8 , as I said, is the spherical angle(do you remember theta), it is just a symbol:tongue2: :tongue2:

    sam
     
  11. Dec 30, 2005 #10

    samalkhaiat

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    Yes darling, you could if you think of 8 as symbol.:zzz:


    sam
     
  12. Dec 30, 2005 #11

    samalkhaiat

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    Yes, now this answer is write, if 8 was a number, but it is not. So,even your temptation is wrong.:tongue2: :rofl:

    good luck

    sam
     
  13. Dec 30, 2005 #12

    Tide

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    samal,

    Prove it! :)
     
  14. Dec 30, 2005 #13

    samalkhaiat

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  15. Dec 30, 2005 #14
    the final answer has mixed parts of a b c and d in it, not only [tex]a_xb_x[/tex] etc. so it cant be abcd
     
  16. Dec 30, 2005 #15
     
  17. Dec 30, 2005 #16

    samalkhaiat

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    Last edited: Dec 30, 2005
  18. Dec 30, 2005 #17

    samalkhaiat

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  19. Dec 30, 2005 #18

    samalkhaiat

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  20. Dec 31, 2005 #19

    Lisa!

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    I meant I hadn't noticed te similarity, dear! :wink:
     
  21. Dec 31, 2005 #20
     
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