If (where, and denotes greatest integer and fractional part of and ). Then, the value…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

f(n) = \frac{\int_{0}^{n} [x] dx}{\int_{0}^{n} \{x\} dx}

(where,

[\cdot]

and

\{\cdot\}

denotes greatest integer and fractional part of

x

and

n \in N

). Then, the value of

f(4)

is ...