Curated OER
Evaluate Integrals
In this evaluating integrals worksheet, students solve and complete 30 various types of problems. First, they use the trigonometric identity to rewrite the integrals. Then, students substitute and use integral formulas for sine function.
Curated OER
Evaluating Definite Integrals Using Accumulation
In this integral worksheet, students sketch functions and use their graph to evaluate functions. This two-page worksheet contains four multi-step problems.
Curated OER
A.P. Calculus Test Covering Limits, Derivatives, and Integrals
In this calculus instructional activity, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals. Students should have covered trig limits prior to this instructional...
Curated OER
The Empty Pot: A Lesson About Integrity
Learners discuss whether honesty really is the best policy with a lesson on "The Empty Pot," a Chinese fable about integrity. After reading the story, class members answer several comprehension and reflection questions about what they...
Curated OER
Worksheet 35-Spring 1996
In this math worksheet, students sketch six integrals and rewrite the equations as double integrals with reversed integration orders. Students evaluate four integrals. They sketch all points on a coordinate plane when given complex...
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Worksheet 36-Spring 1996
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
Curated OER
Worksheet 38-Spring 1996
In this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.
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Worksheet 29-Fall 1995
For this math worksheet, students label each of six integrals as true or false. They evaluate twelve integrals. Students evaluate the graph of a function.
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Worksheet 34 - Antiderivatives
In this antiderivative worksheet, students compute antiderivatives, as well as definite and indefinite integrals. This one-page worksheet contains approximately six multi-step problems.
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Worksheet 29 - Interval
In this interval worksheet, students find integrals of functions, use the first derivative test to classify points, and find the local and global extrema. This one-page worksheet contains eight multi-step problems.
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Worksheet 32 - Antiderivative
In this antiderivative worksheet, students determine the antiderivative by using substitution. They evaluate integrals. This one-page worksheet contains approximately six multi-step problems.
CK-12 Foundation
Volume by Disks: The Vase Case
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson plan of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function...
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Curated OER
Tech Integration Project Lesson Accelerator: Project Overview
Prepare middle schoolers for life in the tech world with a lesson on entering, storing, sorting, and creating database collections. They use a database tool, such as excel, to record the contents of their CD collections. They then...
Curated OER
Improper Integrals
In this improper integral activity, students evaluate the improper integral, draw pictures of improper integrals, and identify the limits. This four-page activity contains fifteen problems.
Curated OER
Worksheet 4: Evaluating Integrals
In this integral worksheet, students evaluate integrals, set up definite integrals, determine distance, mass and volume, differentiate functions, and identify continuous functions This two-page worksheet contains approximately...
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Nine Definite Integrals and Fundamental Theorem Of Calculus Problems
In this definite integral worksheet, student find the value of five definite integrals. Student then explain why a definite integral inequality holds true. Finally, students are given the graph of a functions and asked to determine...
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Complex Analysis: Cauchy's Integral Formula
In this integral formula worksheet, students evaluate integrals. This worksheet contains examples and explanations of Cauchy's Integral Formula, as well as higher derivatives of analytical functions. There are nine problems on this...
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Practicing Integration by Substitution
In this integration worksheet, students evaluate integrals using integration by substitution. This two-page worksheet contains explanations, examples and six problems to solve.
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Properties of the Definite Integrals
In this math worksheet, learners investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.
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Worksheet 8 - Double Integrals
In this double integral activity, students compute the antiderivatives, explore the order of integration, and determine the double integrals of given functions. They sketch the volume of a solid represented by double integrals. This one...
Curated OER
Challenge Sheet 9: Improper Integrals
In this integral worksheet, students evaluate improper integrals, use a convergence test to determine if the integral will converge or diverge and consider the area of a region bounded by a polygon. This one-page worksheet contains...
Curated OER
Evaluate Integrals
In this evaluate integrals worksheet, students solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use integral...
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