**THEORY OF FLUXIONS The origin of the integral Calculus goes back to the early period of development of Mathematics .The great development of method of exhaustion in the early period was obtained in the worksof Eudoxus (440 B.C) and Archimedes(330 B.C).The theory of calculus began in the 17th century .In 1965,Newton began his work on the Calculus described by him as the theory of fluxions and used his theory in finding the tangent and radius of curvature at any point on a curve. Newton introduced the basic notion of inverse function called td by he anti derivative or the inverse method of tangents. The theory of calculus began in the 17th century.In 1665,Newton began his work on the calculus describe by him as the theory of fluxions and used his theory in finding the tangent and radius of curvature at any point on a curve.**

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