Let's do some calculus! (40)

Calculus Level 5

\[\large \displaystyle \int_2^{100} (H_x + H_{x-1} + H_{x-2}) \, dx = \log ( A \times (B!)^3 ) + C \gamma \]

The above equation holds true for positive integers \(A, B, C \) where \(B\) is the largest possible integer. Find \( A + B + C \).

Notations:


Inspired from Aareyan Manzoor

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