# Improper Integral help

• October 1st 2012, 05:22 PM
Manbearpig
Improper Integral help
I need help finding arc length of (x)^(2/3) + (y)^(2/3) = 1

Can Anyone help?
• October 1st 2012, 05:35 PM
Prove It
Re: Improper Integral help
Quote:

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

Can Anyone help?

The arclength between which two points?
• October 1st 2012, 06:13 PM
MaxJasper
Re: Improper Integral help
Quote:

Originally Posted by Manbearpig
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:
http://mathhelpforum.com/attachment....1&d=1349143960

see what you can do!
• October 1st 2012, 06:16 PM
Prove It
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.