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BCECE Engineering BCECE Engineering Solved Paper-2012

  • question_answer
    \[\int_{-4}^{4}{|x+2|}dx\] is equal to

    A)  50                                         

    B)         24                         

    C)         20                                         

    D)         None of these

    Correct Answer: C

    Solution :

    \[\int_{-4}^{4}{|x+2|dx=\int_{-4}^{-2}{-(x+2)dx+\int_{-2}^{4}{(x+2)dx}}}\] \[=\left| \frac{-{{x}^{2}}}{2}-2x \right|_{-4}^{-2}+\left| \frac{{{x}^{2}}}{2}+2x \right|_{-2}^{4}=20\]


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