Integrating Function Teacher Resources
Find Integrating Function lesson plans and worksheets
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STEMbite: The Calculus of Building Blocks
Watch this video with your junior engineers or your higher-level mathematicians. In it, Drew builds half of an arch bridge with building blocks. There happens to be a magnetic board behind the blocks, on which he affixes a magnet for...
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...
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Applications of Definite Integrals
In this definite integral worksheet, students explore different types of integrals and determine the length of a curve. This one-page worksheet contains eight multi-step problems.
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Challenge Sheet 3: Average Value of a Function
In this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
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Calculus Practice Test: Velocity, Functions
In this calculus worksheet, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This...
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Integrating Functions
In this math worksheet, learners find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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The Region Between Two Curves
Learners find the area of a region between two curves. They integrate functions such as sin(x) and cos(x) on a given interval and find the area bounded by the two functions. Pupils use their TI-89 to aid them in finding the bounded...
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Integrals involving Trig Substitution
Students define integrals and list the trig values. In this calculus lesson plan, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
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Integration By Parts
Twelfth graders define integration by parts and solve integrals. In this calculus activity, 12th graders integrate functions using the product rule. They work example problems with the teacher before doing it on their own.
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Why Plus C is important.
In this calculus worksheet, learners solve proofs by taking the derivative and integrating functions. There are 8 problems about integration and an answer key.
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Lunar Crater Frequency Distributions
In this lunar crater frequency worksheet, students use the power-law function to solve 3 problems related to the number of craters in a given area. They integrate the power-law function to determine their answers.
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The Exact Differential
Students integrate functions using u substitution. In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du. Students...
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Calc 3 Review Problems - Function
In this integral worksheet, students evaluate integrals, integrate functions, find directional derivative of a function, identify the maximum and minimum values of a function, and compute Cartesian coordinates. This two-page worksheet...
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Categorize Twelve Integrals
In this integral worksheet, students categorize the given twelve integrals to determine which of the four basic integral functions provided each follows.
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Worksheet 8: Rate, Differentials
In this rate instructional activity, students read story problems, determine the necessary information, and solve the rate problem. They use differentials to estimate the value of a function at a given point and integrate functions. ...
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Complex Analysis: Contour Integration
In this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
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Volumes of Solids of Revolution (Shell Method)
Students find the volume of solids and disks. In this finding the volume of solids and disks lesson, students find the volume using the washer, disk, and shell method. Students integrate functions in terms of x and y. ...
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Worksheet 11: Integration
In this integration worksheet, students integrate functions using any method, they compute the exact value of an integral using the trapezoidal method and the Simpson's method. This five-page worksheet contains approximately 45...
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Worksheet 12: Area of Regions
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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The Man Who Mistook His Wife for a Hat
Four scenarios of unusual human behaviors are given to your psychology class. Based on their knowledge of brain anatomy and function, they consider what parts of the brain might be affected in order to result in the behaviors. This case...
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Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
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Taylor Seies
For this calculus worksheet, students find the Taylor series for each function adn give the interval where the series converges. The two page worksheet contains nine questions. Answers are not included.
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Differential Equations and Population Growth
Students determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...
Texas Instruments
Texas Instruments: Accumulation Functions
In this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.