TS EAMCET · Maths · Definite Integration
If \([\mathrm{x}]\) represents greatest integer function then \(\int_{-2}^2[2-x] d x=\)
- A 10
- B 6
- C 4
- D 3
Answer & Solution
Correct Answer
(B) 6
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text {} \int_{-2}^2[2-x] d x \\ & =\int_{-2}^{-1}[2-x] d x+\int_{-1}^0[2-x] d x+\int_0^1[2-x] d x+\int_1^2[2-x] d x \\ & =\int_{-2}^{-1} 3 d x+\int_{-1}^0 2 d x+\int_0^1 1 d x+\int_1^2 0 d x\end{aligned}\)…
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