The Area of the Surface Generated by Revolving a Graph About Any Line

We discuss a general formula for the area of the surface that is generated by a graph $[t_0,t_1]\to {\mathbb{R}}^2$ sending $t \mapsto \bigl(x(t), y(t) \bigr)$revolvedaroundageneralline$L: A x + B y = C$. As a corollary, we obtain a formula for the area of the surface formed by revolving $y=f(x)$ around the line $y=mx+k$.