Question

Evaluate: $\underset{1}{\overset{2}{\int }}\left[x\right]dx$

Answer 1

${\int }_1^2\left[x\right]dx$

for $x\in (1,2)$

$\left[x\right]=1$

$\Rightarrow {\int }_1^{2}1dx=x{)}_1^2$

$=1$.