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Learn how to express a triple integral over a solid region bounded by paraboloid and horizontal plane surfaces in six different orders of integration in this 20-minute mathematics video lecture. Master the technique of setting up appropriate bounds for each iterated integral representation while working with the surfaces y = 4-x^2 - 4z^2 and y = 0. Gain valuable insights into multivariable calculus concepts through clear explanations and step-by-step demonstrations from Professor V, with additional links provided to review prerequisite topics in triple integrals, integration techniques, and trigonometry.