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JEE Main & Advanced Mathematics Definite Integration Question Bank Fundamental definite integration, Definite integration by substitution

  • question_answer
    \[\int_{1}^{e}{\frac{1}{x}\,dx}\] is equals to        [SCRA 1996; Pb. CET 2003]

    A)                 \[\infty \]           

    B)                 0

    C)                 1             

    D)                 \[\log (1+e)\]

    Correct Answer: C

    Solution :

                    \[I=\int_{1}^{e}{\frac{1}{x}dx}\]\[=[\log x]_{1}^{e}={{\log }_{e}}e-\log 1=1\].


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