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How do I integrate these 3 functions?

  1. Oct 4, 2004 #1
    :confused: How do I integrate these 3 functions?

    (1) [tex]\alpha(t-t_{0})=\int_{R_{0}}^{R(\Theta)}\frac{du}{u\sqrt{a^ 2-u^2}} [/tex]

    (2) [tex]\beta(t-t_{0})=\int_{R_{0}}^{R(\Theta)}\frac{du}{u\sqrt{u^ 2+b}} [/tex]

    (3) [tex]\beta(t-t_{0})=\int_{R_{0}}^{R(\Theta)}\frac{du}{u\sqrt{u^ 2-b}} [/tex]

    A million thanks in advance. :smile:
     
  2. jcsd
  3. Oct 4, 2004 #2
    Last edited by a moderator: Oct 4, 2004
  4. Oct 4, 2004 #3
    thank you very much. Let me try to work this through.
     
  5. Oct 4, 2004 #4
    Sorry =X hint deleted.
     
  6. Oct 4, 2004 #5
    The first one can be solved by letting u=asint
    The second and the third is with u=sqrt(b).sint/cost
    The rest is left for you, honey! :wink:
     
  7. Oct 4, 2004 #6
    What is X hint ????
     
  8. Oct 4, 2004 #7
    Thank you very much!! :tongue2:
     
  9. Oct 4, 2004 #8
    I was doing a muting of myself emoticon for nearly the same text you just put up :) Oh well.
     
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