Question: problem with integral

This integral produces very large result and division by zero when simplified. I do not have earlier version of Maple to check if this is a new problem or not

f:=1/(3*u^(2/3)+3*((-4*u^(1/3)+1)*u^(4/3))^(1/2)-12*u);
anti:=int(f,u);
MmaTranslator:-Mma:-LeafCount(anti);
simplify(anti)

For reference, this is Mathematica's results with leaf count only 35 instead of 41,385 and no problem when simplifying.

f=1/(3*u^(2/3)+3*((-4*u^(1/3)+1)*u^(4/3))^(1/2)-12*u)
anti=Integrate[f,u]
LeafCount[anti]
Simplify[anti]

Could someone please check if this fails same way on earlier Maple version?

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