How Do You Integrate a Function Over a Complex Volume in Spherical Coordinates?

MooMooslimcow
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Integrate the function
f(x,y,z)=6*x+5*y over the solid given by the "slice" of an ice-cream cone in the first
octant bounded by the planes x=0 and y=sqrt(43/5)*x and contained in a sphere centered at
the origin with radius 13 and a cone opening upwards from the origin with top radius 12.

I have no idea as to how to even start. I would really like someone to take the time to guide me through this problem.
 
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Have you any examples like this in your textbook, or your course notes? It would help if you draw a diagram first, so you know the limits of integration.
 
I wish I did. I don't have any refrences with me.
Ugh this is so stressful. thank you replying though
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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