1. Not finding help here? Sign up for a free 30min 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!

Integral problem

  1. Sep 13, 2005 #1
    Can you you solve this Integral problem

    Dear Friends
    Can youn help me to integrate the follownig formula
    L.H.S = Integrate[1-6*Lambda/x*Coth(x/2*Lambda)+12*(Lambda^2/x^2))*x^3*g(x)dx] / Integrate[x^3*g(x)dx]
    Where g(x) = a*exp[-0.5/b^2*ln(x/x0)^2] is the distribution function
    where a= 51.5801
    b=0.9585
    x0=5.4073
    I like to solve for Lambda, where the L.H.S is determined experimentally
    Thank you very much for your cooperation.
     
    Last edited: Sep 13, 2005
  2. jcsd
  3. Sep 13, 2005 #2

    saltydog

    User Avatar
    Science Advisor
    Homework Helper


    Hey Prince. That's hard to follow. Welcome to PF. We use LaTex in here and you may wish to learn to use it if you post frequently. Check out the thread in the Physics Forum about using LaTex. This is what I think it is:

    [tex]\frac{\int_u^v \left(1-\frac{6\lambda}{x}Coth(\frac{\lambda x}{2})+12(\frac{\lambda^2}{x^2})x^3 g(x)\right)dx}{\int_u^v x^3 g(x)dx}[/tex]

    With u and v as the limits of integration

    Maybe that's close. Correct it if necessary. Really, I'd just program it into Mathematica as a function and solve it numerically:

    f([itex]\lambda[/itex])=NIntegrate[g(x,[itex]\lambda[/itex]),{x,u,v}]

    Plot it for starters and see where the LHS meets your value. Then can use NSolve:

    NSolve[f([itex]\lambda[/itex])==my value]

    (or whatever else it takes in Mathematica to get a numerical answer)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Integral problem
  1. Integration problem (Replies: 8)

  2. Integral problem. (Replies: 2)

  3. Integration problem (Replies: 3)

  4. Integration problem (Replies: 4)

  5. Integration problem (Replies: 3)

Loading...