Kalkulačka povrchu tělesa rotace

Vypočítá plochu povrchu, když se křivka otáčí kolem osy a vytváří 3D tvar.

Calkulon makes complex calculations simple — built for students and everyday problem-solvers.

1. 1S = 2π ∫ r(t) × √((dx/dt)² + (dy/dt)²) dt (parametric)
2. 2S = 2π ∫ y × √(1 + (dy/dx)²) dx (Cartesian, rotate around x-axis)
3. 3r(t) = distance to axis; integrand = arc length element
4. 4Accounts for both stretching and distance from axis

• !Missing 2π factor from revolution
• !Using arc length without rotation component
• !Integration bounds