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Evaluate the triple integral where is the solid bounded by the cylinder?

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Final answer:

To evaluate the given triple integral for the solid bounded by a cylinder, you can break it into three parts and simplify the equation. The triple integral involves integrating a function over the volume of the solid.

Step-by-step explanation:

The triple integral can be evaluated by breaking it into three parts: (-∞ to 0), (0 to L), and (L to ∞). Since the particle is constrained to be within the cylinder, C = 0 outside the cylinder, making the first and last integrations zero. The equation for the triple integral becomes:

∫∫∫ (f(x,y,z)) dV = ∫∫[∫ (f(x,y,z)) dx] dy

where f(x,y,z) is the function to be integrated and dV is the differential volume element.

User Nofel Mahmood
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