# How do you find the arc length of #x=2/3(y-1)^(3/2)# between #1<=y<=4#?

##### 1 Answer

Aug 26, 2014

It can be found by

Let us evaluate the above definite integral.

By differentiating with respect to y,

So, the integrand can be simplified as

Finally, we have

Hence, the arc length is

I hope that this helps.