Rapidsol Calculus II (PU)

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The present book provides a comprehensive treatment of the concepts and topics by giving a vast variety of examples fully solved. The entire subject matter has been arranged in a systematic, graded, simple, lucid and exhaustive manner. Each chapter begins with some definitions followed by theorems with complete proofs and solved problems. A large number of notes and remarks have been added for a better understanding of the subject.


Concavity, convexity and points of inflexion, Multiple points, Asymptotes, Tracing of curves

Curvature of a curve at a point, radius of curvature of cartesian, parametric, polar curves and for implicit functions , evolute and involute, chord of curvature.

Integration of hyperbolic and inverse hyperbolic functions.

Reduction Formulae

Numerical Integration – Trapezoidal, Prismoidal and Simpson Rules.

Application of Definite Integrals – Summation of Series, Quadrature, rectification, volumes and surfaces of solids of revolution

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