# Simple question, simple answer

Calculus Level 3

$\large \int_0^\infty (-\{ x \} )^{\lfloor x \rfloor} \, dx = \ ?$

Notation:

• $$\{ x\}$$ denote the fractional part of $$x$$.

• $$\lfloor x\rfloor$$ denote the floor function.

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