Calculus

Find the volume of the solid formed by rotating the region enclosed by
y=e^(5x)+(3), y=0, x=0, x=0.8 about the x-axis.

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  1. volume
    = π[inegral] (e^(5x) + 3)^2 dx from 0 to .8
    = π[integral] (e^(10x) + 6e^(5x) + 9) dx
    = π [ (1/10)e^(10x) + (6/5)e^(5x) + 9x] from 0 to .8

    = π((1/10)e^8 + (6/5)e^4 + 7.2 - ((1/10)(1) + 6/5 + 0))
    = ...

    I will let you finish the "button-pushing"

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