RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

  • question_answer
    \[\int_{-1}^{1}{|1-x|}\,dx\]is equal to

    A)  0

    B)  \[-2\]

    C)  4

    D)  2

    Correct Answer: D

    Solution :

     Let \[I=\int_{-1}^{1}{|1-x|dx}\] For,         \[-1\le x\le 1\] \[\therefore \] \[I=\int_{-1}^{1}{(1-x)dx}\] \[=\left[ x-\frac{{{x}^{2}}}{2} \right]_{-1}^{1}=1-\frac{1}{2}+1+\frac{1}{2}=2\]


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