Plot a domain in 3D with TikZ for a triple integral – tex.stackexchange.com

Sebastiano
I have to solve this triple integral ∭ x y|z|³/(1+ (x²+y²)⁴)  dx  dy dz, with a domain T={(x, y, z) ∈ ℝ³: x ≤ 0, y ≥ 0, z² ≤ x²+y² ≤ 1}. Plotting with DESMOS 3D I see this: Actually I am not able to ...