allery$\displaystyle\int_0^2 [x]\, dx$ where $[x]$ is the greatest integer function:
A$0$
B$1$
C$2$
D$3$
Answer & Solution
Correct answer: B. $1$
On $[0,1)$, $[x] = 0$. On $[1,2)$, $[x] = 1$.
**So $\int_0^2 [x]dx = 0 + 1 = 1$.**
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