Find the volume of the solid generated by revolving the region bounded by y equals 2x , y equals 0, equals 0, and x equals 4 about the x-axis.

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Boston

Mathematics

7 April, 18:06

Find the volume of the solid generated by revolving the region bounded by y equals 2x , y equals 0, equals 0, and x equals 4 about the x-axis.

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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 ...