Mathematics

Problem

The expression

\frac{\int_{0}^{n} [x] dx}{\int_{0}^{n} \{x\} dx}

, where

[x]

and

\{x\}

are integral and fractional parts of

x

and

n \in \mathbb{N}

is equal to (1)

\frac{1}{n-1}

(2)

\frac{1}{n}

(4)

n-1

(3)

n