An arched shaped monument is 570 ft high and has a 600 ft base. It can be modeled by the function

where the base of the arch is[-300,300] and x and y are measured in feet. Find the average height of the arch above the ground.

I was able to do this but it took a while. What is the best way to to do this so I dont have to enter too many buttons on my calculator which personally increases my rate of error.

My questions: 1. Can I use

**ln** on the integrand and what would it look like? 2. How do I deal with symmety for a LN()?

factor out 285 and distribute the minus sign

Can I use a Natral Log? and does it look like this???

Specifically, I want to know do I use LN on the

**factored** out numbers and the

**avgvalue**?

If all is well then My next step would be to split up the intrgrand and check for symmetry. If I didnt previously apply the Ln, then all of the integrand was an even functon. It appers that

is an even function but what about LN(x)

ln(-x)= no bueno