CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    The area bounded by\[y=1+\frac{8}{{{x}^{2}}}\]and the ordinates\[x=2\]and\[x=4\]is:

    A)  2 sq unit       

    B)         4 sq unit

    C)  \[log\text{ }2\]sq unit    

    D)        \[log\text{ }4\]sq unit

    E)  8 sq unit

    Correct Answer: B

    Solution :

    Required area\[=\int_{2}^{4}{\left( 1+\frac{8}{{{x}^{2}}} \right)}\,dx\] \[=\left[ x-\frac{8}{x} \right]_{2}^{4}=4-\frac{8}{4}-2+\frac{8}{2}\] \[=4-2-2+4=4\text{ }sq\text{ }unit\]


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