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  • 1. 1 Review of Functions - Calculus Volume 1 - OpenStax
    2 1 A Preview of Calculus; 2 2 The Limit of a Function; 2 3 The Limit Laws; 2 4 Continuity; 2 5 The Precise Definition of a Limit
  • 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
  • Ch. 1 Key Concepts - Calculus Volume 1 - OpenStax
    2 1 A Preview of Calculus; 2 2 The Limit of a Function; 2 3 The Limit Laws; 2 4 Continuity; 2 5 The Precise Definition of a Limit
  • 1. 3 The Fundamental Theorem of Calculus - OpenStax
    As mentioned earlier, the Fundamental Theorem of Calculus is an extremely powerful theorem that establishes the relationship between differentiation and integration, and gives us a way to evaluate definite integrals without using Riemann sums or calculating areas
  • Ch. 5 Key Concepts - Calculus Volume 1 - OpenStax
    The Fundamental Theorem of Calculus, Part 1 shows the relationship between the derivative and the integral See Fundamental Theorem of Calculus, Part 1 The Fundamental Theorem of Calculus, Part 2 is a formula for evaluating a definite integral in terms of an antiderivative of its integrand
  • 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





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