Find the volume of the region bounded above by the paraboloid z equals 3 x squared plus 4 y squared and below by the square r: minus 2 less than or equals x less than or equals 2 comma negative 2 less than or equals y less than or equals 2.

Question

Abril Norman

Mathematics

17 November, 15:38

Find the volume of the region bounded above by the paraboloid z equals 3 x squared plus 4 y squared and below by the square r: minus 2 less than or equals x less than or equals 2 comma negative 2 less than or equals y less than or equals 2.

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Mayra Austin · Answer 1

To solve this integral, what you can do is split it up as follows: (1) ∫40 (x2-4) dx=∫40 (x2) dx-∫40 (4) dx. To integrate 4 as an indefinite integral, a good rule of thumb is by an equation below for polynomials;. (2) ∫xa=xa+1a+1 + C, where a is any number. C denotes some constant that is crucial when doing ...