Notice that the curve whose length you should find is defined by a rectangular equation, hence, you need to use the next formula such that:

`int_a^b sqrt(1 + ((dy)/(dx))^2)dx`

You need to differentiate the given curve using the chain rule such that:

`((dy)/(dx)) = (2/3)*(3/2)*(x^2 - 1)^(3/2 - 1)*(x^2 - 1)'`

`((dy)/(dx)) = 2x*sqrt(x^2 - 1)`

You need to raise to square...

(The entire section contains 176 words.)

## Unlock This Answer Now

Start your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.