# What is the arc length of #f(x) = (x^2-x)^(3/2) # on #x in [2,3] #?

##### 1 Answer

Mar 1, 2016

Integrating we find (use Wolfram Alpha there is no closed integral for this integral):

L = 11.9145

#### Explanation:

We are going to use the Arc Length formula for L:

where

so let's differentiate

Now find:

Integrating we find (use Wolfram Alpha there is no closed integral for this integral):

L = 11.9145