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And, just a few minutes ago, I realized I forgot to square a constant in solving for rho in spherical coordinates in determining the limits of integration for a triple integral. I got cosine of phi as 1/2, which gives phi as pi/6, but since I forgot to square the two, it actually is pi/4. 
The methods became a bit fuzzy, so I felt rushed in conjuring them up from my mind. A little after two hours, I was only about the third person or so to be finished.
The methods became a bit fuzzy, so I felt rushed in conjuring them up from my mind. A little after two hours, I was only about the third person or so to be finished.