JEE Main & Advanced Sample Paper JEE Main Sample Paper-46

  • question_answer
    The value of \[\int_{-1}^{15}{\,sgn \,(\{x\})\,dx,}\] where {.} denotes the fractional part function, is

    A)  8                                

    B)  16               

    C)  24                              

    D)  0

    Correct Answer: B

    Solution :

     \[\int_{-1}^{15}{\sgn (\{x\})\,dx=}\,\int{\sgn \,(\{x-1\})dx}\](by property) \[\int_{0}^{16}{\sgn \,(x)\,dx}\]\[=16\,\int_{0}^{1}{1\,dx=16}\]


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