That's plausible

Calculus Level 4

\[ \large \int_0^\infty \dfrac{\sin x }{ \sqrt x} \, dx = \dfrac{\pi^A}{B^C} \]

If the equation above holds true for rational numbers \(A\) and \(C\), with positive integer \(B\) minimized, submit your answer as \(\dfrac1{ABC} \).

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