# 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 \( (A+B+C) \bmod{100} \).