Shell Method Question - Where am I wrong?

[Bellwether]

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) = x²e^0.5x + 2xe^0.5x

Thus, 2∏∫ (x²e^0.5x + 2xe^0.5x)dx {from 0 to 2}

My final answer is 16∏(e¹ - 1) ≈ 86.3703

Did I make a mistake somewhere?

 

[LCKurtz]

It looks correct.