Question

If $[x]$ is the greatest integer function not greater than $x$ then $\underset{0}{\overset{8}{\int }}[x]dx$ is equal to

• A. 28
• B. 29
• C. 30
• D. 20

Answer 1

Answer: (A)

$\underset{0}{\overset{8}{\int }}[x]dx=1+2+3+\dots .+7$
$=\frac{7(7+1)}{2}=28$