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

Can Anyone help?

Printable View

- Oct 1st 2012, 05:22 PMManbearpigImproper Integral help
I need help finding arc length of (x)^(2/3) + (y)^(2/3) = 1

Can Anyone help? - Oct 1st 2012, 05:35 PMProve ItRe: Improper Integral help
- Oct 1st 2012, 06:13 PMMaxJasperRe: Improper Integral help
All you have is a curve between (0,1) to (1,0) as follows:

http://mathhelpforum.com/attachment....1&d=1349143960

see what you can do! - Oct 1st 2012, 06:16 PMProve ItRe: Improper Integral help
You will also need to make use of

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

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