Book Contents Navigation
Teaching Resources
Evidence-Based Teaching Practices
Appendix A: Table of Integrals
Glossary of Terms
Students: Additional Lumen Resources
Appendix B: Table of Derivatives
Appendix C: Precalculus Formulas
Basic Functions and Graphs: Cheat Sheet
Basic Functions and Graphs: Background You’ll Need 1
Basic Functions and Graphs: Background You’ll Need 2
Review of Functions: Learn It 1
Review of Functions: Learn It 2
Review of Functions: Learn It 3
Review of Functions: Learn it 4
Review of Functions: Learn it 5
Review of Functions: Apply It
Review of Functions: Fresh Take
Basic Classes of Functions: Learn It 1
Basic Classes of Functions: Learn It 2
Basic Classes of Functions: Learn It 3
Basic Classes of Functions: Learn It 4
Basic Classes of Functions: Learn It 5
Basic Classes of Functions: Learn It 6
Basic Classes of Functions: Apply It
Basic Classes of Functions: Fresh Take
Basic Functions and Graphs: Get Stronger
Basic Functions and Graphs: Get Stronger Answer Key
More Basic Functions and Graphs: Cheat Sheet
More Basic Functions and Graphs: Background You’ll Need 1
More Basic Functions and Graphs: Background You’ll Need 2
More Basic Functions and Graphs: Background You’ll Need 3
Trigonometric Functions: Learn It 1
Trigonometric Functions: Learn It 2
Trigonometric Functions: Learn It 3
Trigonometric Functions: Learn It 4
Trigonometric Functions: Apply It
Trigonometric Functions: Fresh Take
Inverse Functions: Learn It 1
Inverse Functions: Learn It 2
Inverse Functions: Learn It 3
Inverse Functions: Learn It 4
Inverse Functions: Apply It
Inverse Functions: Fresh Take
Exponential and Logarithmic Functions: Learn It 1
Exponential and Logarithmic Functions: Learn It 2
Exponential and Logarithmic Functions: Learn It 3
Exponential and Logarithmic Functions: Learn It 4
Exponential and Logarithmic Functions: Learn It 5
Exponential and Logarithmic Functions: Apply It
Exponential and Logarithmic Functions: Fresh Take
More Basic Functions and Graphs: Get Stronger
More Basic Functions and Graphs: Get Stronger Answer Key
Understanding Limits: Cheat Sheet
Understanding Limits: Background You’ll Need 1
Understanding Limits: Background You’ll Need 2
Understanding Limits: Background You’ll Need 3
A Preview of Calculus: Learn It 1
A Preview of Calculus: Learn It 2
A Preview of Calculus: Learn It 3
A Preview of Calculus: Learn It 4
A Preview of Calculus: Apply It
A Preview of Calculus: Fresh Take
Introduction to the Limit of a Function: Learn It 1
Introduction to the Limit of a Function: Learn It 2
Introduction to the Limit of a Function: Learn It 3
Introduction to the Limit of a Function: Learn It 4
Introduction to the Limit of a Function: Apply It
Introduction to the Limit of a Function: Fresh Take
Understanding Limits: Get Stronger
Understanding Limits: Get Stronger Answer Key
Limits and Continuity: Cheat Sheet
Limits and Continuity: Background You'll Need 1
Limits and Continuity: Background You'll Need 2
The Limit Laws: Learn It 1
The Limit Laws: Learn It 2
The Limit Laws: Learn It 3
The Limit Laws: Learn It 4
The Limit Laws: Apply It
The Limit Laws: Fresh Take
Continuity: Learn It 1
Continuity: Learn It 2
Continuity: Learn It 3
Continuity: Learn It 4
Continuity: Apply It
Continuity: Fresh Take
The Precise Definition of a Limit: Learn It 1
The Precise Definition of a Limit: Learn It 2
The Precise Definition of a Limit: Learn It 3
The Precise Definition of a Limit: Apply It
The Precise Definition of a Limit: Fresh Take
Limits and Continuity: Get Stronger
Limits and Continuity: Get Stronger Answer Key
Introduction to Derivatives: Cheat Sheet
Introduction to Derivatives: Background You'll Need 1
Introduction to Derivatives: Background You'll Need 2
Defining the Derivative: Learn It 1
Defining the Derivative: Learn It 2
Defining the Derivative: Learn It 3
Defining the Derivative: Apply It
Defining the Derivative: Fresh Take
The Derivative as a Function: Learn It 1
The Derivative as a Function: Learn It 2
The Derivative as a Function: Learn It 3
The Derivative as a Function: Learn It 4
The Derivative as a Function: Apply It
The Derivative as a Function: Fresh Take
Differentiation Rules: Learn It 1
Differentiation Rules: Learn It 2
Differentiation Rules: Learn It 3
Differentiation Rules: Learn It 4
Differentiation Rules: Learn It 5
Differentiation Rules: Apply It
Differentiation Rules: Fresh Take
Derivatives as Rates of Change: Learn It 1
Derivatives as Rates of Change: Learn It 2
Derivatives as Rates of Change: Learn It 3
Derivatives as Rates of Change: Learn It 4
Derivatives as Rates of Change: Apply It
Derivatives as Rates of Change: Fresh Take
Introduction to Derivatives: Get Stronger
Introduction to Derivatives: Get Stronger Answer Key
Techniques for Differentiation: Cheat Sheet
Techniques for Differentiation: Background You'll Need 1
Techniques for Differentiation: Background You'll Need 2
Derivatives of Trigonometric Functions: Learn It 1
Derivatives of Trigonometric Functions: Learn It 2
Derivatives of Trigonometric Functions: Learn It 3
Derivatives of Trigonometric Functions: Apply It
Derivatives of Trigonometric Functions: Fresh Take
The Chain Rule: Learn It 1
The Chain Rule: Learn It 2
The Chain Rule: Learn It 3
The Chain Rule: Learn It 4
The Chain Rule: Apply It
The Chain Rule: Fresh Take
Derivatives of Inverse Functions: Learn It 1
Derivatives of Inverse Functions: Learn It 2
Derivatives of Inverse Functions: Apply It
Derivatives of Inverse Functions: Fresh Take
Implicit Differentiation: Learn It 1
Implicit Differentiation: Learn It 2
Implicit Differentiation: Apply It
Implicit Differentiation: Fresh Take
Derivatives of Exponential and Logarithmic Functions: Learn It 1
Derivatives of Exponential and Logarithmic Functions: Learn It 2
Derivatives of Exponential and Logarithmic Functions: Learn It 3
Derivatives of Exponential and Logarithmic Functions: Apply It
Derivatives of Exponential and Logarithmic Functions: Fresh Take
Techniques for Differentiation: Get Stronger
Techniques for Differentiation: Get Stronger Answer Key
Analytical Applications of Derivatives: Cheat Sheet
Analytical Applications of Derivatives: Background You'll Need 1
Analytical Applications of Derivatives: Background You'll Need 2
Analytical Applications of Derivatives: Background You'll Need 3
Introduction to Related Rates
Related Rates: Learn It 1
Related Rates: Learn It 2
Related Rates: Apply It
Related Rates: Fresh Take
Linear Approximations and Differentials: Learn It 1
Linear Approximations and Differentials: Learn It 2
Linear Approximations and Differentials: Learn It 3
Linear Approximations and Differentials: Apply It
Linear Approximations and Differentials: Fresh Take
Maxima and Minima: Learn It 1
Maxima and Minima: Learn It 2
Maxima and Minima: Learn It 3
Maxima and Minima: Apply It
Maxima and Minima: Fresh Take
The Mean Value Theorem: Learn It 1
The Mean Value Theorem: Learn It 2
The Mean Value Theorem: Learn It 3
The Mean Value Theorem: Apply It
The Mean Value Theorem: Fresh Take
Derivatives and the Shape of a Graph: Learn It 1
Derivatives and the Shape of a Graph: Learn It 2
Derivatives and the Shape of a Graph: Learn It 3
Derivatives and the Shape of a Graph: Apply It
Derivatives and the Shape of a Graph: Fresh Take
Analytical Applications of Derivatives: Get Stronger
Analytical Applications of Derivatives: Get Stronger Answer Key
Contextual Applications of Derivatives: Cheat Sheet
Contextual Applications of Derivatives: Background You'll Need 1
Contextual Applications of Derivatives: Background You'll Need 2
Contextual Applications of Derivatives: Background You'll Need 3
Limits at Infinity and Asymptotes: Learn It 1
Limits at Infinity and Asymptotes: Learn It 2
Limits at Infinity and Asymptotes: Learn It 3
Limits at Infinity and Asymptotes: Learn It 4
Limits at Infinity and Asymptotes: Learn It 5
Limits at Infinity and Asymptotes: Learn It 6
Limits at Infinity and Asymptotes: Apply It
Limits at Infinity and Asymptotes: Fresh Take
Applied Optimization Problems: Learn It 1
Applied Optimization Problems: Learn It 2
Applied Optimization Problems: Apply It
Applied Optimization Problems: Fresh Take
L’Hôpital’s Rule: Learn It 1
L’Hôpital’s Rule: Learn It 2
L’Hôpital’s Rule: Learn It 3
L’Hôpital’s Rule: Learn It 4
L’Hôpital’s Rule: Apply It
L’Hôpital’s Rule: Fresh Take
Newton’s Method: Learn It 1
Newton’s Method: Learn It 2
Newton’s Method: Learn It 3
Newton’s Method: Apply It
Newton’s Method: Fresh Take
Antiderivatives: Learn It 1
Antiderivatives: Learn It 2
Antiderivatives: Learn It 3
Antiderivatives: Apply It
Antiderivatives: Fresh Take
Contextual Applications of Derivatives: Get Stronger
Contextual Applications of Derivatives: Get Stronger Answer Key
Introduction to Integration: Cheat Sheet
Introduction to Integration: Background You'll Need 1
Introduction to Integration: Background You'll Need 2
Introduction to Integration: Background You'll Need 3
Approximating Areas: Learn It 1
Approximating Areas: Learn It 2
Approximating Areas: Learn It 3
Approximating Areas: Apply It
Approximating Areas: Fresh Take
The Definite Integral: Learn It 1
The Definite Integral: Learn It 2
The Definite Integral: Learn It 3
The Definite Integral: Learn It 4
The Definite Integral: Apply It
The Definite Integral: Fresh Take
The Fundamental Theorem of Calculus: Learn It 1
The Fundamental Theorem of Calculus: Learn It 2
The Fundamental Theorem of Calculus: Learn It 3
The Fundamental Theorem of Calculus: Apply It
The Fundamental Theorem of Calculus: Fresh Take
Integration Formulas and the Net Change Theorem: Learn It 1
Integration Formulas and the Net Change Theorem: Learn It 2
Integration Formulas and the Net Change Theorem: Learn It 3
Integration Formulas and the Net Change Theorem: Apply It
Integration Formulas and the Net Change Theorem: Fresh Take
Introduction to Integration: Get Stronger
Introduction to Integration: Get Stronger Answer Key
Techniques for Integration: Cheat Sheet
Techniques for Integration: Background You'll Need 1
Techniques for Integration: Background You'll Need 2
Techniques for Integration: Background You'll Need 3
Integration using Substitution: Learn It 1
Integration using Substitution: Learn It 2
Integration using Substitution: Apply It
Integration using Substitution: Fresh Take
Integrals Involving Exponential and Logarithmic Functions: Learn It 1
Integrals Involving Exponential and Logarithmic Functions: Learn It 2
Integrals Involving Exponential and Logarithmic Functions: Apply It
Integrals Involving Exponential and Logarithmic Functions: Fresh Take
Integrals Resulting in Inverse Trigonometric Functions: Learn It 1
Integrals Resulting in Inverse Trigonometric Functions: Learn It 2
Integrals Resulting in Inverse Trigonometric Functions: Apply It
Integrals Resulting in Inverse Trigonometric Functions: Fresh Take
Approximating Integrals: Learn It 1
Approximating Integrals: Apply It
Approximating Integrals: Fresh Take
Techniques for Integration: Get Stronger
Techniques for Integration: Get Stronger Answer Key
Applications of Integration: Cheat Sheet
Applications of Integration: Background You'll Need 1
Applications of Integration: Background You'll Need 2
Applications of Integration: Background You'll Need 3
Areas Between Curves: Learn It 1
Areas Between Curves: Learn It 2
Areas Between Curves: Learn It 3
Areas Between Curves: Apply It
Areas Between Curves: Fresh Take
Determining Volumes by Slicing: Learn It 1
Determining Volumes by Slicing: Learn It 2
Determining Volumes by Slicing: Learn It 3
Determining Volumes by Slicing: Learn It 4
Determining Volumes by Slicing: Apply It
Determining Volumes by Slicing: Fresh Take
Volumes of Revolution: Cylindrical Shells: Learn It 1
Volumes of Revolution: Cylindrical Shells: Learn It 2
Volumes of Revolution: Cylindrical Shells: Learn It 3
Volumes of Revolution: Cylindrical Shells: Apply It
Volumes of Revolution: Cylindrical Shells: Fresh Take
Arc Length of a Curve and Surface Area: Learn It 1
Arc Length of a Curve and Surface Area: Learn It 2
Arc Length of a Curve and Surface Area: Learn It 3
Arc Length of a Curve and Surface Area: Apply It
Arc Length of a Curve and Surface Area: Fresh Take
Putting It Together: Applications of Integration
Applications of Integration: Get Stronger
Applications of Integration: Get Stronger Answer Key
Physical Applications of Integration: Cheat Sheet
Physical Applications of Integration: Background You'll Need 1
Physical Applications of Integration: Background You'll Need 2
Physical Applications of Integration: Background You'll Need 3
Physical Applications: Learn It 1
Physical Applications: Learn It 2
Physical Applications: Learn It 3
Physical Applications: Learn It 4
Physical Applications: Learn It 5
Physical Applications: Apply It
Physical Applications: Fresh Take
Moments and Centers of Mass: Learn It 1
Moments and Centers of Mass: Learn It 2
Moments and Centers of Mass: Learn It 3
Moments and Centers of Mass: Learn It 4
Moments and Centers of Mass: Apply It
Moments and Centers of Mass: Fresh Take
Physical Applications of Integration: Get Stronger
Physical Applications of Integration: Get Stronger Answer Key
Integration of Exponential, Logarithmic, and Hyperbolic Functions: Cheat Sheet
Integration of Exponential, Logarithmic, and Hyperbolic Functions: Background You'll Need 1
Integration of Exponential, Logarithmic, and Hyperbolic Functions: Background You'll Need 2
Integration of Exponential, Logarithmic, and Hyperbolic Functions: Background You'll Need 3
Integrals, Exponential Functions, and Logarithms: Learn It 1
Integrals, Exponential Functions, and Logarithms: Learn It 2
Integrals, Exponential Functions, and Logarithms: Learn It 3
Integrals, Exponential Functions, and Logarithms: Apply It
Integrals, Exponential Functions, and Logarithms: Fresh Take
Exponential Growth and Decay: Learn It 1
Exponential Growth and Decay: Learn It 2
Exponential Growth and Decay: Apply It
Exponential Growth and Decay: Fresh Take
Calculus of the Hyperbolic Functions: Learn It 1
Calculus of the Hyperbolic Functions: Learn It 2
Calculus of the Hyperbolic Functions: Learn It 3
Calculus of the Hyperbolic Functions: Apply It
Calculus of the Hyperbolic Functions: Fresh Take
Integration of Exponential, Logarithmic, and Hyperbolic Functions: Get Stronger
Integration of Exponential, Logarithmic, and Hyperbolic Functions: Get Stronger Answer Key
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