Suppose that $g$ is defined over $\mathbb R$ and
$$f'(x) = g(x) \, (g'(x))^2.$$
Is it possible to find a closed form for the indefinite integral $f$ as a function of $g$?
Suppose that $g$ is defined over $\mathbb R$ and
$$f'(x) = g(x) \, (g'(x))^2.$$
Is it possible to find a closed form for the indefinite integral $f$ as a function of $g$?
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