Surface Area of Revolution About the x-Axis

Surface Area of Revolution About the x-Axis

For:

$$y=f(x)$$

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

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

Usage

- Used to calculate the curved surface area formed by rotating a curve about the $$x$$-axis.