# How do you find the length of the curve #x^(2/3)+y^(2/3)=1# for the first quadrant?

##### 1 Answer

Oct 10, 2017

#### Explanation:

We can write the curve in parametric form by posing:

so that:

As in the first quadrant

where

The length of the curve is therefore:

graph{x^(2/3)+y^(2/3) = 1 [-2.5, 2.5, -1.25, 1.25]}