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Math Help - Find area bounded by the curve

  1. #1
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    Find area bounded by the curve

    Find area of region bound by

    y^2=x^2-x^4
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  2. #2
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    Do you know how to integrate?

    If so, just solve for y, then integrate.
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  3. #3
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    Quote Originally Posted by krakra View Post
    Find area of region bound by

    y^2=x^2-x^4
    First try and draw a graph of this curve.

    By symmetry the area is 4 times the area between the curve and the x-axis from x = 0 to x = 1 of y = \sqrt{x^2 - x^4} = x \sqrt{1 - x^2}.

    To do the integral I suggest making the substitution u = 1 - x^2.
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