Find the volume of the solid formed by rotating the region e

Find the volume of the solid formed by rotating the region enclosed by
y=(e^x)+4, y=0, x=0, x=0.7
about the x-axis.

Solution

V = * (int y2 dx) (x from 0 to 0.7) =

* (int e2x + 8ex + 16 dx) (0 < x < 0.7) =

(1/2 e2x + 8ex + 16x) (0 < x < 0.7) =

((1/2 e1.4 + 8e0.7 + 16*0.7) - (1/2 e0 + 8e0 + 16*0)) =

(1/2 e1.4 + 8e0.7 + 2.7)

Find the volume of the solid formed by rotating the region enclosed by y=(e^x)+4, y=0, x=0, x=0.7 about the x-axis.SolutionV = * (int y2 dx) (x from 0 to 0.7) =

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