$\displaystyle\int_0^2 [x]\, dx$ where $[x]$ is the greatest integer function:
- $0$
- $1$
- $2$
- $3$
Show answer and solution
Correct answer: B. $1$
On $[0,1)$, $[x] = 0$. On $[1,2)$, $[x] = 1$.
**So $\int_0^2 [x]dx = 0 + 1 = 1$.**
Explore 1 free Step Function questions in HPCET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Step Function with Quill →Showing questions 1–1 of 1.
Correct answer: B. $1$