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Math Help - Improper Integral help

  1. #1
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    Improper Integral help

    I need help finding arc length of (x)^(2/3) + (y)^(2/3) = 1

    Can Anyone help?
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    Re: Improper Integral help

    Quote Originally Posted by Manbearpig View Post
    I need help finding arc length of (x)^(2/3) + (y)^(2/3) = 1

    Can Anyone help?
    The arclength between which two points?
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    Lightbulb Re: Improper Integral help

    Quote Originally Posted by Manbearpig View Post
    I need help finding arc length of (x)^(2/3) + (y)^(2/3) = 1

    Can Anyone help?
    All you have is a curve between (0,1) to (1,0) as follows:


    see what you can do!
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    Re: Improper Integral help

    You will also need to make use of

    \displaystyle \begin{align*} \int_a^b{ \sqrt{ 1 + \left(\frac{dy}{dx}\right)^2}\,dx } \end{align*}

    which means you will need to evaluate the derivative and put it entirely in terms of x.
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