JEE Main & Advanced Mathematics Definite Integration Question Bank Area Bounded by Region, Volume and Surface Area of Solids of Revolution

  • question_answer The measurement of the area bounded by the co-ordinate axes and the curve \[y={{\log }_{e}}x\] is                     [MP PET 1998]

    A)            1    

    B)            2

    C)            3    

    D)            \[\infty \]

    Correct Answer: D

    Solution :

               Area \[A=\int_{0}^{\infty }{\log x.dx}\]\[=(x\log x-x)_{0}^{\infty }=\infty \]

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