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Home/Mathematics/Calculus/Surface Area of Revolution Calculator
Math CalculatorCalculus

Surface Area of Revolution Calculator

Calculate the surface area generated by revolving a polynomial curve around the x-axis or y-axis. Choose the axis of revolution.

Updated 2025-01-155 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

Enter comma-separated coefficients of f(x), highest degree first.

The starting x-value.

The ending x-value.

Choose the axis around which to revolve the curve.

Formula & Methodology

How this calculator works

S = 2π ∫ₐᵇ f(x) √(1 + [f'(x)]²) dx

Surface area of revolution integrates the circumference of each circular slice (2π·f(x)) times the arc length element ds = √(1 + (f'(x))²) dx.

Frequently Asked Questions

Common questions about this calculator

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