If [x] is the greatest integer function, then ∫_0^5[x] d x=

Correct answer: (D) 10. I=∫_0^5[x] d x =∫_0^1 0 d x+∫_1^2 1 d x+∫_2^3 2 d x+∫_3^4 3 d x+∫_4^5 4 d x=10

Q115 / 160 · AP EAMCET 2024 (20 May Shift 2) · Mathematics

If $[x]$ is the greatest integer function, then $\int_0^5[x] d x=$

$\mathrm{I}=\int_0^5[x] d x$ $=\int_0^1 0 d x+\int_1^2 1 d x+\int_2^3 2 d x+\int_3^4 3 d x+\int_4^5 4 d x=10$

Hence, the correct answer is option: 'D'.