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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        If\[\int{f(x)}dx=\frac{f(x)}{2}+C,\] then which one of the following is correct?

    A)  \[f(x)={{e}^{2x}}+C\]

    B)  \[f(x)=x+C\]

    C)  \[f(x)=C\]

    D)  \[f(x)={{e}^{2x}}\]

    Correct Answer: D

    Solution :

                    Let \[f(x)={{e}^{2x}}\] \[\therefore \]  \[\int{f(x)dx=\int{{{e}^{2x}}dx}}=\frac{{{e}^{2x}}}{2}+C\]                 \[=\frac{f(x)}{2}+C\]


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