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Homework Help: Calculate Comoving distance as a function of parameters

  1. Mar 16, 2017 #1
    1. The problem statement, all variables and given/known data
    I'm doing research with a Professor and I'm constructing a likelihood function which has parameters the density parameters found in the Friedman equation found using Massive Gravity Action H

    2. Relevant equations
    H(z)^2=a + b (1 + z) + c (1 + z)^2 + d (1 + z)^3 + r (1 + z)^4 ignoring units the integral I need to evaluate for the comoving distance is

    Integrate[ 1/Sqrt[a + b (1 + z) + c (1 + z)^2 + d (1 + z)^3 + r (1 + z)^4], {z, 0, Z}]

    3. The attempt at a solution

    I put this into Mathematica and it can't do it. If I expand it out as a Taylor series I can do it. Is there any other way to evaluate this integral as a function of the parameters and Z?
  2. jcsd
  3. Mar 16, 2017 #2


    User Avatar
    Science Advisor

    Why not use NIntegrate?
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