CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    \[\int{\frac{f(x)}{f(x)\log [f(x)]}}dx\]is equal to:

    A)  \[\frac{f(x)}{\log f(x)}+c\]

    B)  \[f(x).\log f(x)+c\]

    C)  \[\log [\log f(x)]+c\]

    D)  \[\frac{1}{\log [\log f(x)]}+c\]

    E)  \[\frac{\log f(x)}{f(x)}+c\]

    Correct Answer: C

    Solution :

    Let\[I=\int{\frac{f(x)}{f(x)\log [f(x)]}}dx\] \[=\log [\log f(x)]+c\]


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