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12th Class Mathematics Sample Paper Maths Olympiad Model Paper-7

  • question_answer
    If\[\int{\frac{{{x}^{2}}}{({{x}^{2}}+1)\,\,({{x}^{2}}+4)}dx=P\,\,{{\tan }^{-1}}x+Q\,\,{{\tan }^{-1}}\left( \frac{x}{2} \right)+c,}\]

    A)  \[P=\frac{1}{3},\] \[Q=\frac{5}{3}\]     

    B)  \[P=\frac{-1}{3},\]\[Q=\frac{-2}{3}\]

    C)  \[P=\frac{1}{3},\]\[Q=\frac{2}{3}\]      

    D)  \[P=\frac{-1}{3},\]\[Q=\frac{2}{3}\]

    E)  None of these

    Correct Answer: D

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