12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-1

  • question_answer
    \[\int{{{\left[ \frac{\log x-1}{1+{{(log\,x)}^{2}}} \right]}^{2}}}\]dx is equal to

    A)  \[\frac{x}{{{x}^{2}}+1}+C\]

    B)  \[\frac{\log \,x}{{{(log\,x)}^{2}}+1}+C\]

    C)  \[\frac{\,x}{{{(log\,x)}^{2}}+1}+C\]

    D)         \[\frac{\,x{{e}^{x}}}{1+{{x}^{2}}}+C\]

    Correct Answer: C


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