You can do the integration with CFD
and reverse with Quantile
, e.g.
NIntegrate[PDF[ChiSquareDistribution[2], a], {a, 0, 3.0}]
0.77687
p = CDF[ChiSquareDistribution[2], 3.0]
0.77687
Quantile[ChiSquareDistribution[2], p]
Re. your link
Quantile[ChiSquareDistribution[2], 1 - #] & /@ {0.995, 0.975, 0.20, 0.10, 0.05};
SetPrecision[#, If[# < 1, 3, 4]] & /@ %
{0.0100, 0.0506, 3.219, 4.605, 5.991}
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