Curated OER
Integration by Substitution
Looking for help in introducing integration by substitution to your calculus students? Here is a activity that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps...
Flipped Math
Calculus AB/BC - Integrating Using Substitution
U is for u-substitution. Viewers of an instructional video learn how to apply u-substitution to determine integrals for more complex functions. They first find indefinite integrals, then move on to definite integrals.
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The Substitution Rule
In this college level Calculus worksheet, students use the Substitution Rule to evaluate the given integrals. The one page worksheet contains nineteen problems. Answers are not provided.
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The Method of U-Substitution
In this calculus worksheet, learners solve problems using U-Substitution. They find antiderivatives using indefinite integrals. There are 18 questions with an answer key.
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Integration of Trigonometric Integrals
In this trigonometry worksheet, students use integration to solve for the six different trigonometric identities. They use indefinite integrals to solve problems. There are 27 questions with an answer key.
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The Integration of Exponential Functions
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
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The Method of Integration by Parts
In this calculus worksheet, students perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.
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Trigonometric Examples of Integration by Substitution
For this integration worksheet, students use trigonometric identity and integration by substitution to solve given integrals. This two-page worksheet contains three problems.
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More Integral Exchange: Integration By Parts
In this integration learning exercise, students explore methods of integration and explore integration by substitution. This two-page learning exercise contains examples, explanations, and six multi-step problems.
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Integrating Special Functions
In this math worksheet, students practice reading the examples of integrating special functions. The examples have the formulas included.
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Integration By Parts
in this math worksheet, students read the example for the product rule. Then they apply the rule individually or in groups to the following integrals.
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Introduction to Integration by Substitution
In this math worksheet, students read the definition for the Chain Rule. Then they examine the functions and calculate the derivatives.
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Review of Techniques of Integration
Twelfth graders review techniques of integration. For this calculus lesson, 12th graders review integration by parts, integrals with powers, trig substitution, and simpson's rule for a chapter 8 test. They review with a right angle...
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Using Proof in Algebra
In this using proofs in algebra worksheet, 10th graders solve 2 proofs by applying the many rules from algebra for the Properties of Equality for real numbers. They name the property that justifies each statement as seen in the...
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Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
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Word Problems
In this calculus worksheet, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.
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Review for Test on sections 6.2-6.3
Twelfth graders review integration techniques to get ready for their test. In this calculus lesson, 12th graders review integrals, trig substitution, integration by parts, trapezoidal rules and simpson's rule in preparation for a test....
Curated OER
Test on Chapter 8
Twelfth graders review integration techniques to get ready for their test. For this calculus lesson, 12th graders review integrals, trig substitution, integration by parts, trapezoidal rules and simpson's rule in preparation for a test....
Paul Dawkins
Paul's Online Notes: Calculus I: Integrals
The tutorial investigates integrals. Topics discussed are indefinite integrals, area problems, definite integrals, and the substitution rule. Class notes, definitions, and examples with detailed solutions are included. The class notes...
Cuemath
Cuemath: Integration
Explore the world of integration in this mini-lesson. Learn the integration rule and other integral concepts and try your hand at a few practice questions.
Math Open Reference
Math Open Reference: Integration by Substitution
Learn about integration by substitution with this handy reference guide. Provides a detailed definition and examples that enhances further explanation. Includes links to related topics.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Substitution in the Indefinite Integral
Students learn how to integrate using the technique of substitution. The tutorial explores the calculus concept through notes and examples. Review exercises, a chapter summary, and chapter quiz are included.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Definite Integral: Algebraic Approach and the Ftc
Students learn how to evaluate the definite integral using an algebraic approach and the Fundamental Theorem of Calculus. Topics examined are the antiderivative, substitution technique, and marginal cost. The tutorial explores the...
Other
Karl's Calculus Tutor: Methods of Integration
This site provides a detailed overview of the various methods of integration. This first page covers the "gist" of the methods available, followed by much more detail on subsequent pages.