MathematicsMedium210×since 2002Q3439Let f:R→Rf: \mathbb{R} \rightarrow \mathbb{R}f:R→R be a function defined as f(x)=asin(π[x]2)+[2−x],a∈Rf(x)=a \sin \left(\frac{\pi[x]}{2}\right)+[2-x], a \in \mathbb{R}f(x)=asin(2π[x])+[2−x],a∈R where [t][t][t] is the greatest integer less than or equal to ttt. If limx→−1f(x)\mathop {\lim }\limits_{x \to -1 } f(x)x→−1limf(x) exists, then the value of ∫04f(x)dx\int\limits_{0}^{4} f(x) d x0∫4f(x)dx is equal toA−-−1B−-−2C1D2Check answerSkip