This
note covers the following topics: Integration as summation, Integration as the
reverse of differentiation, Integration using a table of anti-derivatives,
Integration by parts, Integration by substitution, Integrating algebraic
fractions, Integrating algebraic fractions, Integration using trigonometric
formulae, Finding areas by integration, Volumes of solids of revolution,
Integration leading to log functions.
This graduate-level lecture
note covers Lebesgue's integration theory with applications to analysis,
including an introduction to convolution and the Fourier transform.
This book describes the following
topics: Elementary functions and their classification, The integration of
elementary functions, The integration of rational functions, The integration of
algebraical functions and The integration of transcendental functions.
This book covers the following
topics: Fundamental integration formulae, Integration by substitution,
Integration by parts, Integration by partial fractions, Definite Integration as
the limit of a sum, Properties of definite Integrals, differential equations and
Homogeneous differential equations.
This lecture note explains the following topics: The integral:
properties and construction, Function spaces, Probability, Random walk and
martingales, Radon integrals.