Can the following sum be counted or expressed in terms of special functions?

integration – What am I doing grievance right here when discovering the volumes of those features utilizing the disk and shell system? Answer

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integration – What am I doing grievance right here when discovering the volumes of those features utilizing the disk and shell system?

I’ve a clique of areas that I necessity to combine utilizing the shell and disk system to search out its quantity. With the shell system, I combine w.r.t. x, and with the disk, w.r.t. y.

But the next areas dont give a whole respond
r6(x)=-0.089(x-21.2)^2 + 10.5 21.65 < x < 25.2 10.482 < y < 9.076
r7(x)=-0.5(x-24.4)^2 + 9.4 25.2 < x < 26.85 9.08 < y < 6.399
r8(x)=-0.7(x-24.87)^2 + 9.1 26.85 < x < 27.68 6.356 < y < 3.57
r9(x)=1.1(x-28.46)^2 + 2.9 27.685 < x < 28.46 3.561 < y < 2.9

Why is that this so?

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