Precalculus 2e online Algebra and Trigonometry 2e online College Algebra with Corequisite Support 2e online License These books are available under the Creative Commons Attribution License license. Support If you would like to support the creation of free textbooks for students, your donations are welco...
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Calculus Volume 1 2. Limits Search for: 2.3 The Limit LawsLearning Objectives Recognize the basic limit laws. Use the limit laws to evaluate the limit of a function. Evaluate the limit of a function by factoring. Use the limit laws to evaluate the limit of a polynomial or rational funct...
2 Introduction 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 Chapter 2 Review Exercises 3. Derivatives 3 Introduction 3.1 Defining the Derivative 3.2 The Derivative as a Function 3.3 Differentiation ...
Calculus Volume 1 1. Functions and Graphs Search for: 1.3 Trigonometric FunctionsLearning Objectives Convert angle measures between degrees and radians. Recognize the triangular and circular definitions of the basic trigonometric functions. Write the basic trigonometric identities. Identify the graphs and ...
Calculus Volume 1 3. Derivatives Search for: 3.5 Derivatives of Trigonometric FunctionsLearning Objectives Find the derivatives of the sine and cosine function. Find the derivatives of the standard trigonometric functions. Calculate the higher-order derivatives of the sine and cosine.One...
18. ∫sin2udu=12u−14sin2u+C∫sin2udu=12u−14sin2u+C 19. ∫cos2udu=12u+14sin2u+C∫cos2udu=12u+14sin2u+C 20. ∫tan2udu=tanu−u+C∫tan2udu=tanu−u+C 21. ∫cot2udu=−cotu−u+C∫cot2udu=−cotu−u+C 22. ∫sin3udu=−13(2+sin2u)cosu+...
Calculus Volume 1 3. Derivatives Search for: 3.3 Differentiation RulesLearning Objectives State the constant, constant multiple, and power rules. Apply the sum and difference rules to combine derivatives. Use the product rule for finding the derivative of a product of functions. Use the quotient...
Calculus Volume 1 5. Integration Search for: 5.1 Approximating AreasLearning Objectives Use sigma (summation) notation to calculate sums and powers of integers. Use the sum of rectangular areas to approximate the area under a curve. Use Riemann sums to approximate area. Archimedes was fascinated...