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

JEE Main & Advanced Mathematics Definite Integration Question Bank Properties of Definite Integration

  • question_answer
    \[\int_{-1}^{1}{\log \left( \frac{1+x}{1-x} \right)\,dx=}\]                [MP PET 1995; Pb. CET 2000]

    A)                 2             

    B)                 1

    C)                 0             

    D)                 \[\pi \]

    Correct Answer: C

    Solution :

               If\[f(x)=\log \left( \frac{1+x}{1-x} \right)\,,\]then\[f(-x)=\log \left( \frac{1-x}{1+x} \right)=-f(x)\]                                 Therefore, \[\int_{-1}^{1}{\log \left( \frac{1+x}{1-x} \right)\text{ }dx=0}\].


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