- #1

gigi9

- 40

- 0

**Calc help plz!!!**

Plz help me out w/ the problem below. Thanks.

Find the length of the specified arc of the given curve:

y=1/3sqrt(x)*(3-x), 0<=x <=3

Formular to find arc length is integral from a to b of sqrt(1+f'(x)^2)dx

I got to these steps below and not sure exactly wat to do next

***y'=1/6x^(-1/2)(3-3x)=1/2x^(-1/2)(1-x)

***V= integral from 0 to 3 of sqrt{1+[1/2x^(-1/2)*(1-x)])2} dx

=integral 0 to 3 of sqrt[1/2+1/4*x^-1+1/4*x] dx