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problems for integral calculus: the area problem, and the distance problem. We then define the integral and discover the connection between integration and differentiation.
Notes on Calculus II Integral Calculus. Miguel A. Lerma. November 22, 2002. Contents. Introduction. 5. Chapter 1. Integrals 6. 1.1. Areas and Distances. The Definite Integral 6. 1.2. The Evaluation Theorem 11. 1.3. The Fundamental Theorem of Calculus 14. 1.4. The Substitution Rule 16. 1.5.
10.10 The Binomial Series and Applications of Taylor Series.pdf. Owner hidden. May 9, 2020. 968 KB. More info (Alt + →) 11.1 Parametrizations of Plane Curves.pdf. Owner hidden. May 9, 2020. 1 MB. More info (Alt + →) 11.2 Calculus with Parametric Curves.pdf. Owner hidden. May 9, 2020. 1.2 MB. More info (Alt + →) 11.3 Polar Coordinates.pdf ...
However, Calculus II, or integral calculus of a single variable, is really only about two topics: integrals and series, and the need for the latter can be motivated by the former. The purpose of this rst lecture is
Calculus II Spring 2004 Chris Wendl. Final Exam: Formula Sheet. 1. Some useful antiderivatives: sec2 x dx = tan x + C. sec x dx = ln. sec x tan x dx = sec x + C. 2. Triogonometry: sec x + tan x| + C. csc2 x dx = − cot x + C. csc x dx = ln | csc x − cot x| + C. csc x cot x dx = − cscx + C.
This wonderful formula, which reduces the problem of computing de nite integrals to the prob-lem of computing antiderivatives, follows from the following remarkable result: Fundamental Theorem of Calculus (FTC) The function F : [a; b] ! R de ned by. x (signed area between the graph of f F (x) = f(x) dx =.
QUICK REFERENCE PAGE 1 Right Angle Trigonometry sin = opposite hypotenuse cos = adjacent hypotenuse tan = opposite adjacent csc = 1 sin sec = 1 cos cot = 1 tan Radians The angle in radians equals the
