Question

What is the arc length of `f(x)=1/x-1/(5-x)` in the interval `[1,5]`?

Answer 1

Infinite or arguably undefined, since `f(5)` is undefined.

Explanation:

`f(x)` has a vertical asymptote at `x=5` so the arc length in the interval `[1, 5)` is infinite.

You could say that the arc length in `[1, 5]` is undefined since `f(5)` is undefined.
graph{1/x-1/(5-x) [-10, 10, -5, 5]}