Question

$\underset{0.2}{\overset{3.5}{\int }}\left[x\right]dx$ is equal to

• A. $4$
• B. $4.5$
• C. $3.5$
• D. $3$

Answer 1

The correct option is B $4.5$

$\underset{0.2}{\overset{3.5}{\int }}\left[x\right]dx=\underset{0.2}{\overset{1}{\int }}\left[x\right]dx+\underset{1}{\overset{2}{\int }}\left[x\right]dx+\underset{2}{\overset{3}{\int }}\left[x\right]dx+\underset{3}{\overset{3.5}{\int }}\left[x\right]dx$

$\underset{0.2}{\overset{3.5}{\int }}\left[x\right]dx=0+1+2+\frac{3}{2}=4.5$