Calc 329 (v2) Mystery Cache

This is part of a series of caches that will stretch your math skills. Grab a pencil, some paper and a calculator and enjoy!!

This is a resurrection of a cache in the series by MATH_GUY. Huge props to him for this series!! This cache is NOT at the listed coordinates as is customary for these types of caches.

Time for another lesson, it was also a lesson for me. Dust off the books and pencils.

Now for the math...Here is the problem:

1. Evaluate the integral.
2. 22.95877% of the answer is the latitude the remaining amount is the longitude.

Helpful websites:

Great Circle Calculations

You can check your answers for this puzzle on GeoChecker.com.