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338 resources with the concept integrals

Lesson Planet

Worksheet 37

For Students 11th - Higher Ed
In this math worksheet, students sketch the regions that give rise to the integrals. Then rewrite them as double integrals with the integration order reversed.
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Worksheet 24

For Students 11th - Higher Ed
In this math activity, students find how a 1 kg bucket filled with 10 kg of water is lifted 10 m into the air. They set up an integral which gives the total amount of work done on the bucket and the water used for lifting it.
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Exploration 4: Definite Integrals by Trapezoidal Rule

For Students 10th - 12th
In this integral worksheet, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page worksheet contains...
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Integrating Special Functions

For Students 11th - Higher Ed
In this math worksheet, students practice reading the examples of integrating special functions. The examples have the formulas included.
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Approximating Integrals with Riemann Sums

For Teachers 9th - 12th
Students practice calculating and analyzing Riemann sums and illustrate when Riemann sums will over/under-approximate a definite integral. They view how the convergence of Riemann sums as the number of subintervals get larger.
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Computing Indefinite Integrals

For Teachers 9th - 12th
Students assess transformations to remove integral symbols as well as to simplify expressions. They explore the Symbolic Math Guide to assist them in solving indefinite integration by parts. This lesson includes partial fractions,...
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Fun Times with Integrals

For Teachers 11th - 12th
Students study techniques used for solving integrals. Using tangrams and hands-on activities, students perform basic integration techniques. They use artistic skills and real-world applications to discover more complex methods of...
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Lesson #94 Exact Area Under a Curve

For Teachers 10th - 12th
Students research Riemann Sums. In this area lesson students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
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Lesson #139 A.P. Exam Review

For Teachers 10th - 12th
Students study for the A.P. Calculus exam. In this integrals activity students complete a worksheet titled, "Stupid Integrals Sheet (a link to the answer key is included).
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Lesson #106 Logs and Long Division

For Teachers 12th
  Students investigate a method of evaluating integrals using long division.  In this calculus lesson, 12th graders examine a method of using long division to perform integration.  The lesson includes a bingo worksheet on exponential and...
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Solving Initial Value Problems

For Teachers 12th - Higher Ed
Young scholars explore derivatives and antiderivatives using the TI. In this calculus lesson, students relate integrals to real life scenarios. They identify the antiderivative through graphing.
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Calculus Exploration: Area of Rectangles and Definite Integrals

For Teachers 12th - Higher Ed
Students calculate area under a curve using Riemann Sums. For this calculus lesson, students investigate the integral through estimation and calculation. They compare their approximate answer to their true answer.
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Quartic Regions

For Teachers 11th - 12th
Students explore the concept of quartic regions.  In this quartic regions lesson plan, students find the area under a curve using their Ti-89 calculator.  Students find definite integrals of two curves.  Students determine the points of...
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Discussion Sheet 10: Improper Integrals

For Students Higher Ed
In this improper integral worksheet, students compute improper integrals, they determine finite improper integrals, and find the area of a region bounded by graphs. Students compute the arc length of a curve on the indicated interval. ...
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ESP Quiz 6

For Students Higher Ed
In this indefinite integrals worksheet, students compute the answers to five computation problems. The worksheet is intended to be used as a quiz.
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Worksheet 12: Area of Regions

For Students Higher Ed
In this area of regions worksheet, students find the area of regions bounded by graphs. They evaluate integrals for the volume of solids and integrate functions. This three-page worksheet contains approximately 25 problems. This is a...
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Worksheet 15: Integrals

For Students Higher Ed
In this integral worksheet, students identify improper integrals as convergent or divergent. They compute the area and volume of regions bounded by a graph. This two-page worksheet contains approximately twenty-five problems. This is...
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Discussion Sheet 2: Indefinite Integrals

For Students Higher Ed
In this indefinite integral worksheet, students compute the volume of a solid located between planes. They evaluate the average value of functions over a given interval and sketch functions. Students find the sum of numbers in a...
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Basic Calculus II: Quiz 8

For Students Higher Ed
In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or...
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Making Choices

For Students Higher Ed
For this making choices worksheet, students find the integral of given problems. This one-page, hand-written, worksheet contains 52 problems.
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Triple Integrals Over Solid Regions

For Teachers 11th - Higher Ed
For this math worksheet, students investigate a solid mass that is suspended. Then they find the integral to help define its placement in space.
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Integrals with Odd Powers of Secant and Tangent

For Teachers 11th - 12th
Students discuss what integrals can be taken that involve secants and tangents. They use a list of ten samples, and discuss each of them. Students use trig substitution using trig identities (tan^2+1=sec^2x and tan^2x=sec^2x-1). They...
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Integrals with Even Powers of Secant and Tangent

For Teachers 11th - 12th
Students integrate integrals that involve even powers of tangents and secants. They work several problems that require the use of integration, and the identity tan^2x+1=sec^2x. Students use integration by parts for the first integral....
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Integrals by Partial Fractions

For Teachers 11th - 12th
Students integrate integrals by the method of partial fractions. They then decompose fractions into two or more fractions to make them simpler rational expressions so that they can apply the basic integration formulas. Students also...