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Question: Triple or Tri-fold Integral.

Question:Triple or Tri-fold Integral.

cnchaos73 5 Maple
integral
April 20 2013
0

How can I successfully input the following problem and be able to solve it. I have been trying with no luck. Please advise. Problem: Find the mass of a planet of radius (R), if its density at each radius (p) is δ= (p+1)/p. Notice the infinite density at its center, but finite mass M=∫∫∫δ dV. Here p is radius not density. Ok, I have the answer but have not been able to get with maple. Answer: Mass=∫∫∫psin(Φ)(p+1)dpdΦdΘ= 4/3∏R^3+2∏R^2. The limits of integration are as follows: p=0..R, phi=0..Pi, Theta=0..2*Pi. Thank you for any info. Charles
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