- #1

Bellwether

- 5

- 0

## Homework Statement

Find the volume of the solid created when the area between the function y=xe

^{0.5x}and the x-axis (for 0≤x≤2) is rotated about the line x=-2

## Homework Equations

Shell Method: Vs = ∫ 2∏r * f(x)

## The Attempt at a Solution

r = x + 2

r * f(x) = x

^{2}e

^{0.5x}+ 2xe

^{0.5x}

Thus, 2∏∫ (x

^{2}e

^{0.5x}+ 2xe

^{0.5x})dx {from 0 to 2}

My final answer is 16∏(e

^{1}- 1) ≈ 86.3703

Did I make a mistake somewhere?