# Fractional Integration

Calculus Level 4

$\int_0^1 ( \{ 2x \} - 1)(\{ 3x \} - 1) \, dx$

If the value of the integral above equals $$\dfrac AB$$, where $$A$$ and $$B$$ are coprime positive integers, find $$A+B$$.

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

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