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Find the area of the figure bounded by t...

Find the area of the figure bounded by the curve `y=(1)/(1+x^(2))` ( the witch of Agnesi ) and its asymptote.

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Knowledge Check

  • The area of the figure bounded by the curve |y|=1-x^(2), is

    A
    `2//3`
    B
    `4//3`
    C
    `8//3`
    D
    `-5//3`

  • The area of the figure bounded by the curve abs(y)=1-x^(2) is

    A
    `2/3`
    B
    `4/3`
    C
    `8/3`
    D
    None

  • What is the area bounded by the curves |y|=1-x^(2) ?

    A
    `4/5` square units
    B
    `8/3` square units
    C
    4 square units
    D
    `16/3`square units

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    The area of the region bounded by the curve C :y=(x+1)/(x^(2)+1) nad the line y=1 , is

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