Welcome

You found us. Great! This site is designed to supplement your Calculus course or to serve as a Calculus refresher. We also have some Pre-Calculus material including Unit Circle.

Below are various calculus topics, including chain rule derivatives, power and quotient rule derivatives, integration by substitution, integration by parts, and much more. Choose one and click on the link to view a short calculus video tutorial. This site zooms in on the basics of each topic and allows you to learn at your own pace. I wish you all the best in your Calculus journey.

A Little Algebra
Adding and Subtracting Rational Expressions
Factoring and Simplifying
FOIL and Difference of Squares

Trigonometry
Reference Angles
Simplifying Trigonometric Expressions
Unit Circle
Part 1: Dividing into Parts
Part 2: Finding the Sine
Part 3. Degrees
Part 4. SOHCAHTOA
Part 5. Outside the First Quadrant

Natural Log Rules
Logarithm Rules

Exponent Rules
Exponent Rules

Limits
The Basics
Once-Sided
Infinite Limits

Derivatives
Factoring and Simplifying Derivatives
Power Rule
Product Rule
Quotient Rule
Chain Rule: The Basics
Chain Rule: Exponential and Log Examples
Chain Rule: Trig and Square Root Examples
Chain Rule and Quotient Rule Combined
Implicit Differentiation
Implicit Differentiation and the Equation of a Tangent Line

Applications of Differentiation
Critical Numbers
Finding Extrema on a Closed Interval
Rolle’s Theorem
Mean Value Theorem
The First Derivative Test
Concavity
Points of Inflection
The Second Derivative Test
Limits at Infinity

Integrals
Integration with Power Rule
Integration by Substitution: The Basics
Integration by Substitution: Another Example
Integration by Substitution: Exponentials
Integration by Substitution: Trigonometric Functions
Integration by Substitution: ‘u’ in the denominator
Integration of a Definite Integral with an Absolute Value Function
Integration of ln x Using u Substitution
Advanced Limits
L’Hopital’s Rule Part 1
L’Hopital’s Rule Part 2

Advanced Derivatives
Derivatives of Inverse Trigonometric Functions
Derivatives of Exponentials without ‘e’ as the base
Derivatives of Logarithms without ‘e’ as the base

Advanced Integrals
Integration of Exponentials without ‘e’ as the base
Integration by Parts: Algebraic and Exponential Functions
Integration by Parts: Natural Logarithm Functions
Integration by Parts: The Tabular Method
Trigonometric Integrals: Powers of Sine and Cosine
The Shell Method: Calculating Volume with Integration
The Washer Method: Calculating Volume with Integration
The Disk Method: Revolving around the x-axis
The Disk Method with a Vertical Axis of Revolution
Trigonometric Substitution
Trigonometric Substitution Example #2
Trigonometric Substitution Example #3
Integration with the Sine Function Raised to an Even Power
Integration of the Tangent Function When Raised to an Even Power
Integration using Partial Fractions
Integration using Partial Fractions with Repeated Linear Factors

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