: videos

: self-testing

: explanations / worked examples

**approximating definite integrals****area between 2 curves**- Are You Ready for Calculus III? [Select "Areas"]
- Area between 2 Curves
- Area between 2 Curves

**area under a curve****curve 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****hyperbolic functions****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 trigonometric substitution****integration by substitution****inverse trigonometric functions**- see: trigonometry

**length**- see: curve length

**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****Riemann sums****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

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

[ Department of Mathematics and Computer Science | Santa Clara University ]