\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(f\) be defined on \((0, +\infty)\) by \(f(x) = \dfrac{1}{\sqrt{x}}\).
Determine the unique antiderivative \(F\) of \(f\) such that \(F(4) = 0\).
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