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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2009

  • question_answer
    The value of\[\int_{-2}^{4}{|x+1|}dx\]is equal to

    A)  12                                         

    B)  14

    C)  13                         

    D)         16

    E)  15

    Correct Answer: C

    Solution :

    Let \[I=\int_{-2}^{4}{|x+1|}dx\] \[=\int_{-2}^{-1}{-(x+1)}dx+\int_{-1}^{4}{(1+x)}dx\] \[=-\left[ \frac{{{x}^{2}}}{2}+x \right]_{-2}^{-1}+\left[ x+\frac{{{x}^{2}}}{2} \right]_{-1}^{4}\] \[=-\left[ \frac{1}{2}-1-(2-2) \right]+\left[ 4+8-\left( -1+\frac{1}{2} \right) \right]\] \[=\frac{1}{2}+\left( \frac{25}{2} \right)=13\]


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