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

  • question_answer
    \[\int_{-1}^{1}{x\,|x|\,}dx=\] [MP PET 1990; Pb. CET 2004]

    A)                 1             

    B)                 0

    C)                 2             

    D)                 \[-2\]

    Correct Answer: B

    Solution :

               Let \[f(x)=x|x|\]. Then \[f(-x)=-x|-x|=-x|x|=-f(x)\]            Therefore \[\int_{-1}^{1}{x|x|dx=0}\],                 (By the property of definite integral).


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