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
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
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