Final answer:
The student's question is about rewriting an iterated integral in five different orders, which involves understanding triple integrals and identifying the region of integration. However, the question lacks complete details necessary for a precise answer.
Step-by-step explanation:
The question involves rewriting the given iterated integral ∫-22 ∫√(4 − x2)-(4 − x2) ∫4x2+y2 g(x,y,z) dz dy dx in five different orders of integration. This requires understanding of triple integrals and the ability to change the order of integration respecting to the given limits which are defined by geometric shapes or regions.
Rewriting the integral in five different orders is crucial to find the most convenient way to perform the integration. It's essential to identify the region of integration and the function involved before deciding which order might simplify the calculations. However, the question seems to be missing complete details for accurately rewriting the integral, such as a clear definition of the region of integration and the function to be integrated, g(x,y,z).