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Math Help - length of the curve

  1. #1
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    length of the curve

    Find the length of the curve  r = \theta^2 from \theta = 0 to \theta=11
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  2. #2
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    The polar arc length formula is:

    \int_{\alpha}^{\beta}\sqrt{r^{2}+(\frac{dr}{d\thet  a})^{2}}d{\theta}

    = \int_{0}^{11}\sqrt{{\theta}^{4}+4{\theta}^{2}}

    = \int_{0}^{11}[{\theta}\sqrt{{\theta}^{2}+4}]d{\theta}

    Can you finish?.
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  3. #3
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    yeah thanks
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  4. #4
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    Quote Originally Posted by viet View Post
    Find the length of the curve  r = \theta^2 from \theta = 0 to \theta=11
    the curve looks like this
    Attached Thumbnails Attached Thumbnails length of the curve-july55.gif  
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