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is there a way to draw the volume of a triple integral????, and in different ways???(rectangular, cylindrical and sphere coordinates)

for example if the integral is

what I want is to draw directly with the above formula

I have been struggling all day with this, because if for example I use something like Plot3D[Integrate[x..... it will first solve the integral, which will become a constant and then draw that constant

Also there must be a way because in the calculus book I'm studying, in many exercises it ask you to draw the volume of the problem with a software tool

Thank you, I really need this

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# How to draw integral with mathematica

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