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

  • question_answer
    \[\int_{-4}^{4}{|x+2|\,dx}=\]

    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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