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Thread: Finding the length of a curve parametrized by...

  1. August 3rd 2009, 01:54 PM #1
    PTL
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    Finding the length of a curve parametrized by...

    How does one find the length of a curve parametrized by
    x = \sqrt{5}sin(2t)-2 and y=\sqrt{5}cos(2t)-\sqrt{3}
    from t = 0 to t = pi/4?

    TIA
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  2. August 3rd 2009, 02:19 PM #2
    Haytham
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    L=\int ds

    L=\int \sqrt{dx^2+dy^2}

    L=\int_0^{\frac{\pi}{4}} \sqrt{\left( \frac {dx}{dt} \right)^2+\left( \frac {dy}{dt} \right)^2} dt
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