Introduction to integral calculus systematic studies with engineering applications for beginners / [electronic resource] :
Ulrich L. Rohde.
- Hoboken, N.J. : Wiley, c2012.
- 1 online resource (xxv, 402 p.) ill.
Includes bibliographical references and index.
Frontmatter -- Antiderivative(s) [or Indefinite Integral(s)] -- Integration Using Trigonometric Identities -- Integration by Substitution: Change of Variable of Integration -- Further Integration by Substitution: Additional Standard Integrals -- Integration by Parts -- Further Integration by Parts: Where the given Integral Reappears on Right-Hand Side -- Preparation for the Definite Integral: The Concept of Area -- The Fundamental Theorems of Calculus -- The Integral Function Identified as ln or log -- Methods for Evaluating Definite Integrals -- Some Important Properties of Definite Integrals -- Applying the Definite Integral to Compute the Area of a Plane Figure -- To Find Length(s) of Arc(s) of Curve(s), the Volume(s) of Solid(s) of Revolution, and the Area(s) of Surface(s) of Solid(s) of Revolution -- Differential Equations: Related Concepts and Terminology -- Methods of Solving Ordinary Differential Equations of the First Order and of the First Degree -- Index.