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.
Numerical Integration – Trapezoidal, Prismoidal and Simpson Rules.
Application of Definite Integrals – Summation of Series, Quadrature, rectification, volumes and surfaces of solids of revolution