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Numerade Educator

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Problem 32 Medium Difficulty

Each integral represents the volume of a solid. Describe the solid.

$ \displaystyle \int_{0}^1 2 \pi (2 - x)(3^x - 2^x) dx $

Answer

$0 \leq y \leq 3^{x}-2^{x}\{0 \leq x \leq$

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Video Transcript

we know DX implies an axis of rotation that is vertical. We know the radius is too modest. X. The axis of rotation is the same thing as X equals two, and the height is three day acts minus to the X. Therefore, this represents a solid obtained by retain The region bounded by why is three to the X minus two to the ax ax is one and exes too. So if you want a rough sketch of what this looks like, it looks approximately something like this. And I described the characteristics of what it looked like given the equation.