Hey, I have been trying to make Mathematica integrate the following function:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]r_{e}=\frac{c}{H_{0}}\int_{0}^{z}\frac{dz}{\left[\Omega_{NR}(1+z)^{3}+\Omega_n(1+z)^{3-n}+\Omega_{\Lambda}\right]^{\frac{1}{2}}}[/tex]

There are two cases for which this equation needs to be integrated, seperately;

(i) When [tex]\Omega_{\Lambda}=0[/tex]

(ii) [tex]\Omega_n=0 [/tex]

n is real, so is z and the sum of the density parameters is unity, thus if we take case (ii) [tex]\Omega_{\Lambda} = 1 - \Omega_{NR}[/tex]

However Mathematica outputs the formatted version of the input line. Next I thought I would just define a function which includes the above integral, and then plot it for varying values of [tex]\Omega_{NR}[/tex] and n, however the problem is that often times the Kernel crashes or the curves plotted have gaps in them and/or end unexpectedly.

I would of course prefer to have the integrated function as I presume it would save on plotting time as I need make plots for various values of n for case (i).

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Mathematica: Problems with integrating and plotting a function

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**