Analyze Math
Analyze Math: Table of Integrals
The resource consists of a table of indefinite integrals of functions. Formulas for elementary functions, trigonometric functions, exponential functions, and hyperbolic functions are included.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Indefinite Integral
Students learn about the indefinite integral. Topics examined are antiderivative formulas, variable of integration, and constant of integration. The tutorial explores the calculus concept through notes, examples, and quizzes to check for...
University of Manchester
Umist: Mathematical Formula Tables
This site has links to tables of mathematical formulas. To view them, the student must download the formulas in pdf format.
Mathematics Archives
Math Archives: Visual Calculus: Reduction Formulas
This tutorial presents a series of trigonometric integrals to solve using recursion or reduction formulas. Click Solution next to each formula and a popup screen provides the solution.
Hofstra University
Hofstra University: The Indefinite Integral
Nice on-line tutorial site. The site explains the Anti derivative, gives formulas for finding the anti derivative of various general forms, and has examples the student can work on-line
Wolfram Research
Wolfram Math World: Line Integral
Use this site to find the formula for the line vector of a field on a curve. Also included is the formula for complex plane circumstances. Read further down the page for higher math involving involveing Poincare's
Mathematics Archives
Math Archives: Visual Calculus: Integration by Parts
Excellent site explaining how and why the Integration by Parts works. Go through the formula step-by-step.
Integrated Publishing
Integrated Publishing: The Discriminant
A thorough investigation of what the discriminant is and how it is used. Contains examples and exercises, with answers on the page.
Interactive Mathematics
Interactive Mathematics: Basic Trigonometric Form of Integrals
Formulas are presented for several types of integrals that contain trigonometric functions. Examples are provided to allow students to practice applying the formulas. Solutions are provided with step-by-step details.
Interactive Mathematics
Interactive Mathematics: Basic Logarithmic Form of Integration
The derivative of logarithms is used to allow the power formula for integrals to be used in special cases. Several examples are provided to show how this is accomplished.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Derivation of De Moivre's Formula
A formula using Euler's formula to derive DeMoivre's theorem. Basic calculus skills of differentiating and integrating are required to understand this explanation.
Wolfram Research
Wolfram Mathworld: Riemann Integral
This site explains the Riemann Integral and its relation to the Riemann Sum. This site addresses double and triple Riemann Integral scenarios. Includes formulas, definitions, and links to related sites.
Integrated Publishing
Integrated Publishing: Area Under a Curve
A step-by-step explanation of the formulas needed to find the area under a curve by working through an example problem.
Wolfram Research
Wolfram Math World: Improper Integrals
Good site from Mathworld.com explaining Improper Integrals. Includes formulas, examples, and links to related sites.
Math Medics
S.o.s. Math: Convergence and Divergence of Improper Integrals
This lesson explains in detail the Convergence and Divergence of Improper Integrals. Includes many formulas and examples.
eFunda
Numerical Integration: Newton Cotes Formulas
Good site explaining the various methods for numerical integration.
Other
Numerical Integration: Simpson's Rule
This site gives a description of Simpson's Rule. It includes formulas, examples, and graphs. There are also links to further information.
Paul Dawkins
Paul's Online Notes: Calculus Cheat Sheet [Pdf]
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
Math Medics
S.o.s. Math: Problems on Improper Integrals
This math lesson gives information on Improper Integrals. Includes formulas and examples.
Other
Numerical Integration: The Left and Right Rectangle Rules and the Midpoint Rule
A detailed and comprehensive site dealing with the Left and Right Rectangle Rules and the Midpoint Rule. Includes formulas and graphs.
Integrated Publishing
Integrated Publishing: Levers
A quite lengthy chapter on the simple machine the lever. Includes uses, classes, mechanical advantage, formulae, etc. A full discussion, with good illustrations.
Paul Dawkins
Paul's Online Notes: Calculus I: Area and Volume Formulas
The tutorial examines the area between two curves and the volume of a solid of revolution. The class notes are available in pdf format.
Interactive Mathematics
Interactive Mathematics: The General Power Rule
Using the power rule, integration is applied to trigonometric and logarithmic functions. Several examples demonstrate the process with detailed solutions.
TeachEngineering
Teach Engineering: Common and Natural Logarithms and Solving Equations
Students continue an examination of logarithms in the Research and Revise stage by studying two types of logarithms--common logarithms and natural logarithm. In this study, they take notes about the two special types of logarithms, why...