# Who's up to the challenge? 26

Calculus Level 5

$\large \int_0^1 \left \{ \dfrac{(-1)^{\big\lfloor \frac1x\big\rfloor }}{x}\right \} \, dx = A + B \ln \left( \dfrac C{\pi} \right)$

The equation above holds true for positive integers $$A,B,$$ and $$C$$. Find $$A+B+C$$.

Notation: $$\{ \cdot \}$$ denotes the fractional part function.

This is a part of "Who's up to the challenge?"

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