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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