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

  • question_answer The area enclosed between the curve \[y={{\log }_{e}}(x+e)\]and the co-ordinate axes is                                            [AIEEE 2005]

    A)            3    

    B)            4

    C)            1    

    D)            2

    Correct Answer: C

    Solution :

               Required area \[=\int_{1-e}^{0}{{{\log }_{e}}(x+e)\ dx}\]            \[=\int_{1}^{e}{\log \ t\ dt=[t\log t-t]_{1}^{e}}=1\ sq.\ unit\], (Put \[x+e=t\]).


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