The integral _ - 1 2 ^ 1 2 ([x]+ ( 1+x 1-x ) ) d x equals

Mathematics · JEE Main · NTA ExamsIntegral Calculus

The integral \[\int_{-\frac{1}{2}}^{\frac{1}{2}}\left([x]+\ln \left(\frac{1+x}{1-x}\right)\right) d x\] equals
  1. \(-\frac{1}{2}\)
  2. 0
  3. 1
  4. \(2 \ln \left(\frac{1}{2}\right)\)

Answer

(B) 0

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