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JEE Main & Advanced Mathematics Definite Integration Question Bank Properties of Definite Integration

  • question_answer
    \[\int_{-1}^{1}{|1-x|dx}=\]                                         [Karnataka CET 2004]

    A)                 ? 2         

    B)                 0

    C)                 2             

    D)                 4

    Correct Answer: C

    Solution :

                    \[\int_{\,-1}^{\,1}{|1-x|}\,dx=\int_{\,-1}^{1}{(1-x)\,dx}=\left[ x-\frac{{{x}^{2}}}{2} \right]_{-1}^{1}=2\].


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