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
    To find the numerical value of \[\int_{-2}^{2}{(p{{x}^{2}}+qx+s)\,dx,}\] it is necessary to know the values of constants                [IIT 1992]

    A)                 \[p\]     

    B)                 \[q\]

    C)                 \[s\]      

    D)                 \[p\] and \[s\]

    Correct Answer: D

    Solution :

               Given integral \[I=\int_{-2}^{2}{(p{{x}^{2}}+s)}dx+q\int_{-2}^{2}{xdx}\]                    \[I=2\int_{0}^{2}{(p{{x}^{2}}+s)dx+0=\frac{4}{3}(4p+3s)}\]                                 Thus, to find the numerical value of I, it is necessary to know the value of p and s.


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