The value of ∫−115 sgn⁡({x})dx where {.} denotes the fractional part function, is

The value of 115sgn({x})dx where {.} denotes the fractional part function, is

  1. A

    8

  2. B

    16

  3. C

    24

  4. D

    0

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    Solution:

    115sgn({x})dx=016sgn({x1})dx  (by property) =016sgn({x})dx=1601sgn({x})dx=1601sgn(x)dx=16011dx=16

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