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JEE Main & Advanced JEE Main Paper (Held On 19 May 2012)

  • question_answer
    The value of the integral\[\int\limits_{0}^{0.9}{\left[ x-2\left[ x \right] \right]dx,}\]where [.] denotes the greatest integer function is     JEE Main  Online Paper (Held On 19  May  2012)

    A) 0.9                         

    B)                        1.8

    C)                        -0.9                                       

    D)                        0

    Correct Answer: D

    Solution :

                    Since \[\int\limits_{0}^{a}{[x]}=0\]where \[0\le a\le 1\] \[\therefore \]\[\int\limits_{0}^{0.9}{[x-2][x]]dx}=0\]


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