Texts: Which of the following triple integrals is well-defined? Note that there may be more than one correct answer.
1. ∫∫∫ zyx dz dy dx, where 0 ≤ x ≤ y ≤ z
2. ∫∫∫ sin(x) dy dx dz, where 0 ≤ x ≤ π, 0 ≤ y ≤ 1, 0 ≤ z ≤ 2
3. ∫∫∫ x^2 + y^2 + z^2 dx dy dz, where 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1
4. ∫∫∫ zyx dy dx dz, where 0 ≤ x ≤ y ≤ z
5. ∫∫∫ sin(x) dz dy dx, where 0 ≤ x ≤ y ≤ π
6. ∫∫∫ zyx dx dy dz + ∫∫∫ 1 e^(y^2+z^2) dx dy dz, where 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 3
7. ∫∫∫ x^2 + y^2 + z^2 dz dx dy, where 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1