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Problem calculating the integral

Posted 14 days ago
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Hello , I Hope You 're fine , I have a problem calculating the integral of a 1 / H [ hubbl parametre ] in MATHEMATICA but the latter does not give me the result of this integration ,

is there another method in Mathematics to calculate it?

Do you have any reason to think there is a closed form? Most integrals don't have one. Maybe the best you can do is numerical methods.

In this case only way is NIntegrate:

 H[z_, h_, Ωm_, ωd_, Ωr_] := 100 h Sqrt[Ωr (1 + z)^4 + Ωm (1 + z)^3 + (1 - Ωm - Ωr) (1 + z)^(3 (1 + ωd))]
 NIntegrate[1/H[z, 5, 1/2, 1/3, 1/4], {z, 0, 3}]

(*0.00167544*)
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