Surface Area of Revolution About the y-Axi

Surface Area of Revolution About the y-Axis

For:

$$y=f(x)$$

the surface area generated by revolution about the $$y$$-axis is:

$$S=2\pi\int_a^b x\sqrt{1+\left(\frac{dy}{dx}\right)^2}\,dx$$

Usage

- Used to calculate surface area when the curve is revolved around the $$y$$-axis.