West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
Math Centre UK
Integrating Algebraic Fractions 1
Don't get stuck on the integral when you can incorporate partial fractions. A well-explained guide, there are seven pages and a tutorial video that detail the steps for different types of algebraic fractions.
CK-12 Foundation
Properties of Definite Integrals
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Definite Integrals
Learning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...
Flipped Math
Calculus AB/BC - Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
Calculus classes definitely need to learn about indefinite integrals. Individuals watch an informative video to learn the antiderivative rules for exponential, logarithmic, trigonometric, and inverse trigonometric functions. To solidify...
Curated OER
Worksheet 29 - Integrals
In this integral worksheet, pupils evaluate definite integrals and sketch regions of integration. This one-page worksheet contains 10 multi-step problems.
Curated OER
Computing Indefinite Integrals
Provide your learners with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
Curated OER
Worksheet 28 - Definite Integrals
For this integral worksheet, pupils compute definite integrals, sketch line segments and shade regions for the integrals. This one-page worksheet contains six multi-step problems.
Curated OER
Integration by Substitution
Looking for help in introducing integration by substitution to your calculus students? Here is a instructional activity that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives,...
Curated OER
Worksheet 37 - Practice Exam III - Integrals
In this integral worksheet, students use double integration to find area and volume. They identify the limits of a sequence. This one-page worksheet contains 11 problems.
Curated OER
Worksheet One - Definite Integral
In this definite integral worksheet, students use substitution to simplify integrals. They find the values of the upper and lower points and interpret points found on a graph. Students solve this two-page worksheet.
Curated OER
Worksheet 30 - Definite Integrals
In this integral worksheet, students find the volume of solids, compute definite integrals, and identify the limit of the terms. This one-page worksheet contains 7 multi-step problems.
Curated OER
Worksheet 7 - Integral Test
In this integral test worksheet, pupils use the integral test to determine the upper and lower bounds for a given function. They identify the convergence of a series. This one-page worksheet contains four multi-step problems.
Curated OER
Worksheet 6 - Improper Integrals
In this improper integral worksheet, students determine the convergence or divergence of functions. They explore the sequence in the series. This one-page worksheet contains six multi-step problems.
Curated OER
Worksheet 33 - Integrals
In this integral worksheet, students analyze equations using the gamma function. They sketch graphs of functions, and find the are between the graph and the x-axis. This two-page worksheet contains five multi-step equations.
Curated OER
Divergence and Surface Integrals
In this divergence and surface integrals worksheet, students explore given vector fields and calculate the divergence and surface integrals of given functions. This one-page worksheet contains 5 multi-step problems.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
Curated OER
Math 250 - Integration Review Problems
In this integrals worksheet, students find the indefinite integrals of eleven multi-step problems. Students find the integrals of functions with and without intervals.
Curated OER
Trig Integration Review
In this trigonometric functions worksheet, students find the integral of 8 trigonometric functions. Students use trig properties to integrate each problem.
Flipped Math
Calculus AB/BC - Integrating Functions Using Long Division and Completing the Square
With just a little work, integrals can become much easier. The 11th of 16 installments in Unit 6 - Integration has viewers watch a video to learn different ways to rewrite an integrand before determining the integral. They use polynomial...
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.
Flipped Math
Calculus AB/BC - Applying Properties of Definite Integral
Properly apply the properties of integrals. By watching a video, scholars learn about the properties of definite integrals. They see how to use the area under a curve and the properties to determine the value of a given definite integral.
Flipped Math
Calculus AB/BC - Unit 6 Review: Integration and Accumulation of Change
Sometimes it's important to stop and take the time to review. Pupils look back at the second half of the unit and consider what they have learned about integration. They complete a instructional activity of review problems that assesses...
Flipped Math
Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
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