Calculus Series - InSights™ E-Books
Table of Derivatives and Integrals with Selected Special Functions

Clean layout, linked Table of Contents and index let you find results fast
Thorough hyperlinked cross-referencing within the body of the tables, the glossary and index, that indicates where and how to apply the formulas
Detailed examples and how-to-use guides
Perfect for math, science and engineering courses
Nearly 1,700 formulas, tables and entries
The most extensive Calculus tables under $100

Content Overview:

• Table of Derivatives (49 entries)
• Basic Derivative Properties
• Derivatives of Algebraic functions
• Derivatives of Trigonometric functions
• Derivatives of Inverse Trigonometric functions
• Derivatives of Exponential functions
• Derivatives of Logarithmic functions
• Derivatives of Hyperbolic functions
• Table of Integrals (1,216 entries)
• How to Use a Table of Integrals
• Basic Integral Properties
• Basic Properties of Definite Integrals
• Algebraic Integrals
• Definite Integrals containing Algebraic functions
• Trigonometric Integrals
• Integrals consisting of products of Polynomial and Trigonometric functions
• Integrands consisting of Inverse Trigonometric functions
• Integrals consisting of products of Polynomial and Inverse Trigonometric functions
• Definite Integrals containing Trigonometric functions
• Hyperbolic Integrals
• Integrands consisting of products of Polynomials and Hyperbolic functions
• Integrands consisting of products of Trigonometric and Hyperbolic functions
• Integrands consisting of Inverse Hyperbolic functions
• Definite Integrals containing Hyperbolic functions
• Exponential Integrals
• Integrands containing products of Algebraic and Exponential functions
• Integrands containing products of Trigonometric and Exponential functions
• Integrands containing products of Algebraic, Trigonometric and Exponential functions
• Integrands containing products of Logarithmic and Exponential functions
• Definite Integrals containing Exponential functions
• Logarithmic Integrals
• Integrands containing products or quotients of Algebraic and Logarithmic functions
• Definite Integrals containing Logarithmic functions
• Power-Reduction Formula Tables (257 entries)
• How to Use Reduction formulas
• Algebraic Reduction formulas
• Trigonometric Reduction formulas
• Hyperbolic Reduction formulas
• Exponential Reduction formulas
• Logarithmic Reduction formulas
• Integral Inequalities (3 entries)
• Special Functions (149 entries)
• The Gamma Function
• Equivalent Forms
• Properties
• Associated Definite Integrals
• Other Results
• The Beta Function
• Equivalent Forms
• Properties
• Associated Definite Integrals
• Definite Integrals Related to both the Beta and Gamma Functions
• Other Results
• The Euler-Mascheroni Constant
• Equivalent Forms
• Euler-Mascheroni Constant-Gamma Function Connections
• Bernoulli Numbers
• Alternate Definitions
• Some Bernoulli Numbers
• Properties
• Series Representations
• Asymptotic Representation
• Euler Numbers
• Alternate Definitions
• Some Euler Numbers
• Properties
• Series Representation
• Relationship between Bernoulli and Euler Numbers
• The Polylogarithm Function
• Properties
• The Error and Complementary Error Functions
• Equivalent Forms
• Properties
• Asymptotic Representations
• The Exponential Integral
• Equivalent Forms
• Properties
• Asymptotic Representation
• The Factorial Function
• Properties
• Links to Table entries that refer to Special Functions
• Glossary
• Improper Integral and Infinite Series Tests, Theorems

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Integration Techniques 1 (CLS-CF5)
Integration Techniques 2, Integration Applications 1 (CLS-CF6)
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