\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(f\) be defined on \(\mathbb{R}\) by \(f(x) = (2x+1)(x^2+x-1)^2\).
Determine the unique antiderivative \(F\) such that \(F(-1) = -1\).
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