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

If $[x]$ is the greatest integer function, then $\int_0^5[x] d x=$
  1. 15
  2. 2
  3. 3
  4. 10

Solution

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

Asked in: AP EAMCET 2024 (20 May Shift 2)

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