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BCECE Engineering BCECE Engineering Solved Paper-2015

  • question_answer
    The value of the integral \[\int_{0}^{0.9}{[x-2][x]dx,}\]where \[[\cdot ]\] denotes the greatest integer function, is

    A) 0.9                         

    B) 0      

    C) 1.8                         

    D) -0.9

    Correct Answer: B

    Solution :

    \[\int_{0}^{0.9}{[x-2[x]]dx}\] \[=\int_{0}^{0.9}{[x-2\times 0]dx}\] \[=\int_{0}^{0.9}{[x]dx}=\int_{0}^{0.9}{\text{0 dx = 0}}\]


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