Simple question, simple answer

Calculus Level 3

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

Notation:

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

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

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