\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find the antiderivatives of \(f(x)=x^2(x^3+1)^4\) on \(\mathbb{R}\).
\(F(x)=\)
\(, \forall C \in \mathbb{R}\)