Let : $I= \int_0^1 \int_0^1 \left\{ \frac{x}{y} \right\} \ \mathrm{d}x\ \mathrm{d}y$ Find $\lfloor1000I\rfloor$.

$\{x\}$ denotes to the fractional part of $x$, and $\lfloor x\rfloor$ denotes to the floor function for $x$.

**Remark :** Numerical integration using software can be wrong.

×

Problem Loading...

Note Loading...

Set Loading...