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Math Help - find length of curve

  1. #1
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    find length of curve

    find the length of the curve r = (theta)^2 ... 0<= theta <= 2pi

    just wanted the equations or formulas involved in this equation please. also, i believe i use will take an integral for this equation.

    thankyou.
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  2. #2
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    Quote Originally Posted by rcmango View Post
    find the length of the curve r = (theta)^2 ... 0<= theta <= 2pi

    just wanted the equations or formulas involved in this equation please. also, i believe i use will take an integral for this equation.

    thankyou.
    S = \int_{\theta_1}^{\theta_2} \sqrt{r^2 + \left(\frac{dr}{d\theta}\right)^2} \, d\theta
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