Let f(x)=x-[x] , for every real number , where is the integral part of . Then _ -1 ^ 1…

Mathematics · JEE Main · NTA ExamsIntegral Calculus

Let \(f(x)=x-[x]\), for every real number , where is the integral part of . Then \(\int_{-1}^{1} f(x) d x\) is:
  1. \(1\)
  2. \(2\)
  3. \(0\)
  4. \(\frac{1}{2}\)

Answer

(A) 1

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