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Integrating nested root in denominator

  1. Oct 5, 2004 #1
    Hi Y'all,

    I was trying to integrate a function in two dimesions. after integrating it in one dimesion and substituting the limits I got two terms.

    I am unable to integrate the second term. That is because it had a sqare root in the denominator which contained another one within it. I took out unnecessary parameters and simplified this term to present it here.

    now ____________________________________1
    The function to be integrated: -------------------------------
    _____________________________________________2 2
    __________________________Sqrt[a + c x + b Sqrt[r - x ]]

    this is equivalent to = 1/(a+b*(r^2-x^2)^(1/2)+c*x)^(1/2)

    I tried using mathemetica but it just gives the input as output with an integratin symbol on it.

    Can someone please help!!!!!!!!!!!!!!!!!!!!!

    thanks for reading!! many more thanks if you can solve!!!!!!!!!!!!!!!!!!!!
  2. jcsd
  3. Oct 5, 2004 #2


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    Staff Emeritus
    Science Advisor
    Gold Member

    The equations you need to show us are very hard to read in text fromat read this thread for a better way.
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