: videos
: self-testing
: explanations / worked examples

approximating definite integrals

• Numerical Integration
• The Trapezoid Rule
• Simpson's Rule
• Numerical Integration

area between 2 curves

• Are You Ready for Calculus III? [Select "Areas"]
• Area between 2 Curves
• Area between 2 Curves

area under a curve

• Are You Ready for Calculus III? [Select "Areas"]
• The Definite Integral — Understanding the Definition

curve length

• Arc Length

differentiation

• Are You Ready for Calculus III? [Select "Differentiation"]

exponents

• see also: logarithmic differentiation
• Are You Ready for Calculus III? [Select "Logs & Exponentials"]
• Are You Ready for College Algebra? [Select "Exponents"]
• Integration: The Exponential Form
• The Integration of Exponential Functions/
• General Exponential and Logarithmic Functions
• Logs and Exponentials

fundamental theorem of (integral) calculus

• Fundamental Theorem of Calculus
• Area under a Curve
• The Area under a Curve

hyperbolic functions

• The Hyperbolic Functions
• The Inverse Hyperbolic Functions

improper integrals

• Improper Integrals

integration

• see also: approximating definite integrals
• see also: fundamental theorem of (integral) calculus
• see also: improper integrals
• see also: integration by parts
• see also: integration by trigonometric substitution
• see also: integration by substitution
• Table of Elementary Indefinite Integrals (referenced in Visual Calculus pages)
• Are You Ready for Calculus II? [Select "Integration"]
• Are You Ready for Calculus III? [Select "Integration I" or "Integration II"]
• Just Math Tutorials [Select the appropriate link in the "Antiderivates/Integrals" section] [Select the appropriate link in the "Integration Techniques" section]

integration by parts

• Integration by Parts
• Integration by Parts
• The Method of Integration by Parts
• Integration by Parts — Indefinite Integral

integration by trigonometric substitution

• Integration Using Trigonometric Substitution
• Integration by Trigonometric Substitution

integration by substitution

• Integration Using Substitution
• The Indefinite Integral: Using Substitution
• Elementary Integrals and Integration Using Substitution
• The Method of Substitution
• Integration by U-Substitution (Indefinite Integral)
• Integration Using U-Substitution
• Integration Using Substitution

inverse trigonometric functions

• see: trigonometry

length

• see: curve length

logarithmic differentiation

• Logarithmic Differentiation
• Logarithmic Differentiation — Basic Idea and Example
• Logarithmic Differentiation

logarithms

• Are You Ready for Calculus III? [Select "Logs & Exponentials"]
• Derivative of the Logarithmic Function
• Integration: The Basic Logarithmic Form
• Logarithmic Differentiation
• Logs and Exponentials
• Just Math Tutorials [Search for "logarithm"] [Select the appropriate link in the "Logarithms" section]
• Derivatives of Logarithmic Functions and Examples
• Properties of Logarithms — Logarithmic Functions

partial fractions

• Partial Fractions
• Integration by Partial Fractions
• The Method of Integration by Partial Fractions
• Partial Fraction Decompositions

Riemann sums

• Integration and Riemann Sums
• Riemann Sum Applet
• Approximating a Definite Integral Using Rectangles

substitution

• see: integration by substitution
• see: integration by trigonometric substitution

trigonometry

• see also: integration by trigonometric substitution
• Are You Ready for Calculus II? [Select "Trig, Logs, and Limits" (omit limits)]
• Are You Ready for Calculus I? [Select "Trig Identities"]
• Differentiation of Inverse Trigonometric Functions
• Derivatives of the Inverse Trigonometric Functions
• Integration: Inverse Trigonometric Functions
• Integration: Other Trigonometric Forms
• Derivatives Involving Inverse Trigonometric Functions
• Inverse Trigonometric Functions — Derivatives — Example
• Inverse Trigonometric Functions — Derivatives
• Integrating Using Inverse Trigonometric Functions

volume

• Volumes of Revolution — Parabola example
• Volumes of Revolution (requires LiveMath Plug-In/ActiveX — NOT LiveMath "Maker" or LiveMath "Viewer")
• Volumes of Revolution — Washers (requires LiveMath Plug-In/ActiveX — NOT LiveMath "Maker" or LiveMath "Viewer")
• Volumes of Revolution — Cylindrical Shells (requires LiveMath Plug-In/ActiveX — NOT LiveMath "Maker" or LiveMath "Viewer")
• Volume of Solid of Revolution
• Volume of a Solid of Revolution
• Calculating Volumes of Revolution Using Disk/Washers about a Horizontal Line
• Volumes
• Volumes — Cylindrical Shell Method
• Volumes of Revolution Using Cylindrical Shells
• Calculating Volumes of Revolution Using Disk/Washers about a Horizontal Line
• Calculating Volumes of Revolution Using Disk/Washers about Vertical Lines

Pages with Additional Useful Links

• Calculus Problems and Solutions
• http://www.khanacademy.org/#Calculus (Numerous videos on various calculus topics)
• When Will I Use Math?