Find $f(x)$ where:
$$ \int_{0}^{1}f(x,n)\ \mathrm dx=e^{-4n^{2}{\pi}} $$
Is it possible that question contains infinitely many answers?
How to solve this ?
Please provide me a hint.
2026-03-28 05:28:54.1774675734
How to find the function such that $\int_0^1f(x)\ \mathrm dx=e^{-4n^{2}{\pi}}$
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If such a function exists, then you may add any function whose integral between $0$ and $1$ is zero. Now you should find one particular solution. For this, a constant (with respect to $x$) function suffices.