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: Antiderivatives
This site from the University of Tennessee, Knoxville defines Improper Integrals and presents examples the student can work and then check online
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.
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.
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.
University of Georgia
University of Georgia: Mean Value Theorem
This site has a detailed explanation of the Mean Value Theorem.
Khan Academy
Khan Academy: Average Value of a Function Over a Closed Interval
This video, from Khan Academy, explains the concept of "average value of a function over a closed interval".
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.
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.
CK-12 Foundation
Ck 12: Analysis: Definition of a Limit
[Free Registration/Login may be required to access all resource tools.] In this lesson students are given an introduction to the concept of limit and the origins of Calculus. Students examine guided notes, review guided practice, watch...
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.
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