Subjects/Calculus II/Applications of the integral/Surface of revolutionSection 10.6Surface of revolutionAround the x-axis, with f(x)≥0:Copy LaTeXS=2π∫abf(x)1+[f′(x)]2dx.View detail →Around the y-axis, with x≥0:Copy LaTeXS=2π∫abx1+[f′(x)]2dx.View detail →For another axis, the radial factor must be the distance to that axis.