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Captain Math's Birthday Challenge Mystery Cache

This cache has been archived.

TheJump: Archiving this one at the request due to changes in the local area.

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Hidden : 7/25/2012
Difficulty:
3 out of 5
Terrain:
1.5 out of 5

Size: Size:   regular (regular)

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Geocache Description:

Captain Math's love of puzzles was the inspiration for this cache.  His 49th birthday was the basis for the puzzle.

There is nothing at the posted coordinates.
 
Solve for X ...
 
For the North coordinates, solve the following integral for X to three decimal places.  Of course, it is important to know that it starts with N41 ...

North Integral
 
For the West coordinates, solve the following integral for X to three decimal places.  You will also need to know that it starts with W74.

West Integral
 
This cache is placed in a very unique position on private land. The land owner has given permission for it's placement and will help with the maintenance. Please be respectful.
Feel free to email for hints.

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

Additional Hints (Decrypt)

svefg lbh unir gb fbyir gur chmmyr, gura qb gur zngu

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)