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Math Help - Length of a curve

  1. #1
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    Length of a curve

    Find the length of the curve

    x=3y^{ \frac{4}{3} } - \frac{3}{32} y^{ \frac{2}{3} }

    -216 \leq y \leq 125

    I got to the integral, which is  \int^{125}_{-216} (1+(4y^{ \frac {1}{3}} + \frac{1}{16} y^{ \frac{-1}{3} })^{2})^{\frac{1}{2}}

    But how do I solve this integral?
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  2. #2
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    Are you sure you have it stated correctly?. It appears to have a complex result.
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