In Maple 2021
This is one of the integrals, that in Maple 2020 did not handle. In Maple 2020, it gives this
A:=1/( -12*u+ 3*u^(2/3)-3*B);
The difference is that in Maple 2021 int is able to solve this (but gives very long output which I will not post here). The problem is now simplify() gives an error on the result. I was trying to see if possible to obtain the same small result as Mathematica's after simplifying. Here is Mathematica's result
B = Sqrt[(-4*u^(1/3) + 1)*u^(4/3)];
A = 1/(-12*u + 3*u^(2/3) - 3*B);
res = Integrate[A, u]
It is good that Maple can solve this integral, but why simplify gives error on the result? Is there a workaround?