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

  • question_answer
    If \[\int_{0}^{2a}{f(x)\,dx=2\int_{0}^{a}{f(x)\,dx,}}\] then                           [SCRA 1986]

    A)                 \[f(2a-x)=-f(x)\]              

    B)                 \[f(2a-x)=f(x)\]

    C)                 \[f(a-x)=-f(x)\] 

    D)                 \[f(a-x)=f(x)\]

    Correct Answer: B

    Solution :

                    It is a fundamental property.


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