Krishna's TB Integral Calculus | Edition-3 | Pages-232 | Code-1206

by A.R. Vasishtha

SYLLABUS- INTEGRAL CALCULUS, Paper Integral Calculus Definite Integral as a limit of sum, Properties of Definite integrals, Fundamental theorem of integral calculus, Summation of series by integration, Infinite integrals, Differentiation and integration under the integral sign. Functions Defined by Infinite Beta function, Properties and various forms, Gamma function, Recurrence formula and other relations, Relation between Beta and Gamma function, Evaluation of integrals using Beta and Gamma functions. Multiple Double integrals, Repeated integrals, Evaluation of Double integrals, Double integral in polar coordinates, Change of variables and Introduction to Jacobians, Change of order of integration in Double integrals, Triple integrals, Evaluation of Triple integrals, Drichlet’s theorem and its Liovelle’s extension. Geometrical Applications of Definite Area bounded by curves (quadrature), Rectification (length of curves), Volumes and Surfaces of Solids of revolution.

Kindle Edition

Published April 16, 2021