AP EAMCET · Maths · Definite Integration
If \([x]\) is the greatest integer function, then \(\int_0^5[x] d x=\)
- A 15
- B 2
- C 3
- D 10
Answer & Solution
Correct Answer
(D) 10
Step-by-step Solution
Detailed explanation
\(\mathrm{I}=\int_0^5[x] d x\) \(=\int_0^1 0 d x+\int_1^2 1 d x+\int_2^3 2 d x+\int_3^4 3 d x+\int_4^5 4 d x=10\)
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