Calculus Volume 3 - OpenStax Study calculus online free by downloading Volume 3 of OpenStax's college Calculus textbook and using our accompanying online resources
Calculus Volume 1 - OpenStax Study calculus online free by downloading volume 1 of OpenStax's college Calculus textbook and using our accompanying online resources
Ch. 1 Introduction - Calculus Volume 2 - OpenStax In fact, integrals are used in a wide variety of mechanical and physical applications In this chapter, we first introduce the theory behind integration and use integrals to calculate areas From there, we develop the Fundamental Theorem of Calculus, which relates differentiation and integration
5. 2 The Definite Integral - Calculus Volume 1 - OpenStax Integral notation goes back to the late seventeenth century and is one of the contributions of Gottfried Wilhelm Leibniz, who is often considered to be the codiscoverer of calculus, along with Isaac Newton The integration symbol ∫ is an elongated S, suggesting sigma or summation
3. 3 Differentiation Rules - Calculus Volume 1 - OpenStax 5 3 The Fundamental Theorem of Calculus; 5 4 Integration Formulas and the Net Change Theorem; 5 5 Substitution; 5 6 Integrals Involving Exponential and Logarithmic Functions; 5 7 Integrals Resulting in Inverse Trigonometric Functions
2. 1 A Preview of Calculus - Calculus Volume 1 - OpenStax Two key problems led to the initial formulation of calculus: (1) the tangent problem, or how to determine the slope of a line tangent to a curve at a point; and (2) the area problem, or how to determine the area under a curve The Tangent Problem and Differential Calculus Rate of change is one of the most critical concepts in calculus
Index - Calculus Volume 1 - OpenStax Access for free at https: openstax org books calculus-volume-1 pages 1-introduction Citation information Use the information below to generate a citation We recommend using a citation tool such as this one Authors: Gilbert Strang, Edwin “Jed” Herman Publisher website: OpenStax Book title: Calculus Volume 1