Manipal Engineering Manipal Engineering Solved Paper-2014

  • question_answer
    Graph of position of image versus position of

    A) \[\int_{{}}^{{}}{\frac{{{x}^{2}}-1}{({{x}^{4}}+3{{x}^{2}}+1){{\tan }^{-1}}\left( x+\frac{1}{x} \right)}dx}\]                     

    B) \[{{\tan }^{-1}}\left( x+\frac{1}{x} \right)+C\]

    C) \[{{\cot }^{-1}}\left( x+\frac{1}{x} \right)+C\]                     

    D) \[\log \left( x+\frac{1}{x} \right)+C\]

    Correct Answer: D

    Solution :

    \[{{H}_{3}}P{{O}_{4}}\]\[C{{X}_{4}}+2{{O}_{2}}\xrightarrow[{}]{{}}C{{O}_{2}}+2{{X}_{2}}O\] \[C{{X}_{4}}\]\[VO_{4}^{3-}\] The most appropriate answer is \[M{{n}_{2}}{{O}_{3}}\] cm.


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