JEE Main & Advanced Mathematics Definite Integration Question Bank Summation of series by Definite Integration, Gamma function, Leibnitz's rule

  • question_answer
    \[\int_{0}^{b-c}{\,\,{f}''(x+a)\,dx=}\]                                      [SCRA 1990]

    A)                 \[{f}'(a)-{f}'(b)\]              

    B)                 \[{f}'(b-c+a)-{f}'(a)\]

    C)                 \[{f}'(b+c-a)+{f}'(a)\]     

    D)                 None of these

    Correct Answer: B

    Solution :

                    \[\int_{0}^{b-c}{f''(x+a)dx}\]\[=[f'(x+a)]_{0}^{b-c}=f'(b-c+a)-f'(a)\].


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