Calculus II Volume

Question

Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the y-axis: y=e^(x²), x=0, x=√2, y=0

Answer 1

As an engineer; the easy way to get the volume of a pipe; inner r^2pi*L.

Answer 2

By Shello Method: V = 2π∫₀^√2xe^{x^2}dx = 2π·1/2e^(x²)₀^√2= π(e² - 1) = 20.07