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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2010

  • question_answer
    If\[\int_{0}^{a}{f(2a-x)dx}=m\]and\[\int_{0}^{a}{f(x)dx}=n,\]then\[\int_{0}^{2a}{f(x)dx}\]is equal to

    A)  \[2m+n\]           

    B)  \[m+2n\]

    C)  \[m-n\]           

    D)                         \[n-m\]

    E)  \[m+n\]

    Correct Answer: E

    Solution :

    \[\int_{0}^{2a}{f(x)}dx=\int_{0}^{2a}{f(2a-x)}dx\] \[\int_{0}^{a}{f(2a-x)}dx-\int_{0}^{2a}{f(2a-x)}dx\] \[\int_{0}^{a}{f(2a-x)}dx+\int_{0}^{a}{f(x)}dx\] \[=m+n\]            


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