I believe you have to use
The Gateway Arch to the West in St. Louis has the shape of an inverted catenary. Rising 630 ft at its center and stertching 630 ft across its base, the shape of the arch can be approximated by
for
Approximate the total length of the arch.
Is this a problem involving derivatives of integrals because I'm kind of lost at this word problem. I'm thinking take the derivative with respect to x.
Yes.
When you put it in the equation (which is the arc length equation, by the way), you get
.
Use the identity to get
...