# The title was eaten by cookie monster 2

Calculus Level 5

$\large \int_0^\pi \cos^{14} \theta \, d\theta = \dfrac{A+B\pi}C$

If the equation above holds true for integers $$A,B$$ and $$C$$ with $$C$$ is positive and minimized, find $$(A+B+C) \bmod{100}$$.

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