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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

  • question_answer
        If\[f(x)\]satisfies the condition of Rollers theorem in [1,2], then\[\int_{1}^{2}{f(x)}\,dx\]to is equal to

    A)  1

    B)  3

    C)  0

    D)  None of the above

    Correct Answer: C

    Solution :

                    As,\[f(x)\]satisfies the conditions of Rolles theorem in [1,2],\[f(x)\]is continuous in the interval and\[f(1)=f(2)\]. \[\therefore \]\[\int_{1}^{2}{f(x)}dx=[f(x)]_{1}^{2}=f(2)-f(1)=0\]


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