Question

What is the arc length of `f(x)=x^2/12 + x^(-1)` on `x in [2,3]`?

Answer 1

`approx 1.03425`

Explanation:

`f'(x)=1/6x-1/x^2`
so our integral will be

`int_2^3sqrt(1+(1/6*x-1/x^2)^2)dx approx 1.03425`