Is it possible to rewrite the following ratio in a way that $f(x)$, its powers or derivatives appears only as numerator.
$$\frac{1}{\int_{0}^{c}(c-x)^{2}f(x)dx}$$
$c>0$ is a constant.
$f(x)$ is positive, continuous, and differentiable.
It is allowed to have a specified value of $f(x)$, such as $f(0)$ or $f(c)$, as denominator.
Using series is allowed.
2026-04-05 19:24:35.1775417075
How to bring f(x) from denominator to numerator?
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