2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Definite Integration

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

  • question_answer
    The value of \[\int_{1}^{e}{\log x\,dx}\]is                                            [Pb. CET 2001]

    A)                 \[0\]     

    B)                 1

    C)                 \[e-1\] 

    D)                 \[e+1\]

    Correct Answer: B

    Solution :

               \[I=\int_{1}^{e}{\,\log x\,dx}\]Þ \[I=\int_{e}^{1}{\,1.\log x\,dx}\]                    Þ \[I=[x\log x-x]_{1}^{e}=(e\log e-e)-(0-1)\]                                 Þ \[I=1\].


You need to login to perform this action.
You will be redirected in 3 sec spinner