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Area of a parabola

Area under parabola & Area enclosed by parabola

Archimedes, sometimes described as the inventor of integral calculus, is credited with determining a theorem & formula to find the area enclosed by a chord of a parabola.

Area enclosed by chord of parabola



Formula for thea area enclosed by the chord of a parabola
Area = 2/3 area of circumscribed parallelogram formed by the chord of the parabola and a tangent of the parabola. See the picture below
picture of area of parabola