Analyze Math
Analyze Math: Find Area Under Curve
Scholars examine how to find the area under and between curves using definite integrals. The tutorial consists of practice exercises and examples with solutions.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Trigonometric Functions
The topic summary outlines trigonometric functions. Some topics reviewed are derivatives of trigonometric functions, sine function, trigonometric identities, and indefinite integrals of trigonometric functions. The resource consists of...
Math Medics
S.o.s. Math: Trigonometric Substitutions
This detailed tutorial explains trigonometric substitution. Includes formulas, equations and examples.
Wolfram Research
Wolfram Math World: Calculus and Analysis
Over two dozen links are provided at this MathWorld site. From Polynomials and Series to Dynamical Systems and Catastrophe Theory, each link provides in-depth explanations and relevant diagrams of the topics at hand.
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.
Mathematics Archives
Math Archives: Trigonometric Substitution
This resource has many examples of integration using trigonometric substitution that the student can work on and then check their answers. Includes hints.
Duke University
Calculating the Volume of a Vase
This site is a wonderful exercise for students with a Calculus base. The site gives an interactive drawing of a vase where the measurements of the diameter of the vase are at any point. The student then finds the volume using calculus....
CK-12 Foundation
Ck 12: Analysis: Area Under the Curve
[Free Registration/Login may be required to access all resource tools.] The definition of integration, using limits to calculate the area under a curve.
Other
Sierra College: Summary of Tests for Series
Provides a summary of tests for series that includes the test, series, converges, sum of remainder, and diverges for nth Term, Geometric Series, Telescoping Series, p-Series, Alternating Series, Integral, Root, Ratio, Direct Comparison,...
Khan Academy
Khan Academy: 3 D Divergence Theorem Examples
See how to use the 3D divergence theorem to make surface integral problems simpler.
Curated OER
S.o.s. Math: Improper Integrals
This math lesson explains Improper Integrals with definitions and examples.
Curated OER
S.o.s. Math: Improper Integrals
This math lesson explains Improper Integrals with definitions and examples.
Curated OER
S.o.s. Math: Improper Integrals
This math lesson explains Improper Integrals with definitions and examples.
Curated OER
S.o.s. Math: Improper Integrals
This math lesson explains Improper Integrals with definitions and examples.
Curated OER
S.o.s. Math: Improper Integrals
This math lesson explains Improper Integrals with definitions and examples.
Curated OER
S.o.s. Math: Improper Integrals
This math lesson explains Improper Integrals with definitions and examples.
University of Arizona
Math Lesson: Calculating Parts Per Million: Do We Have a Problem Here?
Twelfth graders test solutions to determine the parts per million and whether a lake is contaminated.
Mathematics Archives
Math Archives: Visual Calculus: Antiderivatives / Integration by Parts
Good site with an example that is solved step by step for the student
Mathematics Archives
Math Archives: Visual Calculus: Antiderivatives / Integration by Parts
This site has worked out examples the student can examine.
Khan Academy
Khan Academy: Arc Length
Use definite integrals to find the length of an arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Other
Area Between Curves
Site explains using an example how to find the area between curves using a calculator.
Wolfram Research
Wolfram Math World: Trigonometric Substitution
This resource explains the steps to solving a difficult integration using a given trigonometric substitution and then proceeds to explain which integration technique to apply to solve the integration problem.
Wolfram Research
Wolfram Math World: Chord
Describes what a chord is and shows a diagram and shows how to find areas using integral calculus.
Florida State University
Florida State University: Science, Optics & You: Sir Isaac Newton
Biography of Sir Isaac Newton (1642-1727), a scientist whose impact is felt in many disciplines today. His laws of motion are integral to basic physics, and he co-invented calculus.
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