Vector Analysis Review for Mechanics course

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Shackleford
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Okay. How the heck do I integrate this sum? I have to be doing something wrongly.

http://i111.photobucket.com/albums/n149/camarolt4z28/2010-09-02193820.jpg?t=1283474406

http://i111.photobucket.com/albums/n149/camarolt4z28/2010-09-02192641.jpg?t=1283474140
 
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Well, I differentiated the right-hand side and got the integrand.