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RuleBasedIntegration / Rubi

Rubi for Mathematica
http://rulebasedintegration.org
MIT License
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Weakness #23

Closed mariuszi28cg closed 5 years ago

mariuszi28cg commented 5 years ago

Int[(Exp[x]*(2 - x^2))/((1 - x) Sqrt[1 - x^2]), x]

Gives :

Int[E^x/Sqrt[1 - x^2], x] + Int[E^x/((1 - x) Sqrt[1 - x^2]), x] + Int[(E^x x)/Sqrt[1 - x^2], x]

Answer is: (E^x (1 + x))/Sqrt[1 - x^2]

AlbertRich commented 5 years ago

Hi MI. Good to hear from the winner of Rubi's Hardest Integral Challenge! Thanks for pointing out this deficiency in Rubi. Mathematica 11.3 cannot integrate it either, but Maple 2018.2 can.

I will add this exponential integration problem to the Rubi's test suite, effectively adding it to my long to-do list.

Thanks, Albert