Mathematics

Mathematics

Problem

The value of ∫−55f(x)dx\int_{-5}^{5} f(x) dx ; where f(x)=minimum({x+1},{x−1})f(x) = \text{minimum}(\{x+1\}, \{x-1\}) , ∀x∈R\forall x \in \mathbb{R} and {⋅}\{\cdot\} denotes fractional part of xx , is equal to a. 3 b. 4 c. 5 d. 6

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