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12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-4

  • question_answer
    \[\int{x\,\{f({{x}^{2}})g''({{x}^{2}})-f''\{{{x}^{2}}\}g({{x}^{2}})\}}\]dx is equal to

    A)  \[f({{x}^{2}})\,g'({{x}^{2}})-g({{x}^{2}})f'({{x}^{2}})+c\]

    B)  \[\frac{1}{2}\{f({{x}^{2}})g'({{x}^{2}})f\,'({{x}^{2}})\}+c\]

    C)  \[\frac{1}{2}\{f({{x}^{2}})g'({{x}^{2}})-g({{x}^{2}})f'({{x}^{2}})\}+c\]

    D)  \[f({{x}^{2}})g({{x}^{2}})f'({{x}^{2}})+c\]

    Correct Answer: C

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