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

  • question_answer
    The value of \[\int_{\,0}^{\,8}{\,|x-5|\,dx}\] is                                 [UPSEAT 2003]

    A)                 17          

    B)                 12

    C)                 9             

    D)                 18

    Correct Answer: A

    Solution :

                    \[I=\int_{0}^{8}{|x-5|dx=\int_{0}^{5}{-(x-5)dx+\int_{5}^{8}{(x-5)\,dx=17}}}\].


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