Home/Calculus II/Parametric curves/Surface of revolutionSection 12.5Surface of revolutionAround the xxx-axis:Copy LaTeXS=2π∫αβ∣y(t)∣[x′(t)]2+[y′(t)]2 dt.S=2\pi\int_{\alpha}^{\beta} |y(t)|\sqrt{[x'(t)]^2+[y'(t)]^2}\,dt.S=2π∫αβ∣y(t)∣[x′(t)]2+[y′(t)]2dt.View detail →
Around the xxx-axis:Copy LaTeXS=2π∫αβ∣y(t)∣[x′(t)]2+[y′(t)]2 dt.S=2\pi\int_{\alpha}^{\beta} |y(t)|\sqrt{[x'(t)]^2+[y'(t)]^2}\,dt.S=2π∫αβ∣y(t)∣[x′(t)]2+[y′(t)]2dt.View detail →