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Area & volume by integration formulas

4 formulas for Area & volume by integration, from the Calculus section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.

NameFormulaNote
Area under curveA = ∫ₐᵇ |f(x)| dx
Area between curvesA = ∫ₐᵇ |f(x) − g(x)| dx
Volume of revolution (disc)V = π ∫ₐᵇ y² dx
Arc lengthL = ∫ₐᵇ √(1 + (dy/dx)²) dx

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Related: Calculus