Question

Solve: $\stackrel{\frac{1}{2}}{\underset{\frac{1}{2}}{\int }}\left[x\right]dx$

Answer 1

${\int }_{1/2}^{1/2}\left[x\right]dx$

$\because$ limits are same , integral will be zero.

also, $\left[x\right]$ for $\frac{1}{2}=0$

$\therefore I={\int }_{1/2}^{1/2}0dx=0$