Integrals Teacher Resources
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Lesson 33- Integration by Substitution continued
Humongous Calculus problem of the day - "Two hikers begin ..." Use the properties of indefinite integers and indefinte integrals to solve this problem. Six practice problems are included with space to do the work, as well as a suggestion of ten homework problems from the book.
Introduction to Integration
Students discuss the importance of Integrals as it relates to calculus. In this calculus lesson, students define Integrals and practice taking the integrals of polynomials. They work problems to enhance their understanding of how derivatives is incorporated into calculus.
Integration by Parts
Students explore integration by parts and use it to solve equations. In this calculus lesson, students sing a song about integration, and practice solving equations using integration by parts twice. They solve integrals and discuss when to apply integration by parts.
Calculus Assignment #1: Integrals
In this calculus worksheet, students evaluate given integrals. Problems contain exponents, square roots, and complex fractions. This two-page worksheet contains 16 multi-step problems. Answers are provided on page two.
A.P. Calculus Integration Test
In this A.P. Calculus worksheet, students complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields. Some of the problems are multiple choice, while others are free-response.
Fundamental Theorem of Calculus
For this calculus worksheet, students observe the graph the function and identify the interval as increasing or decreasing. They identify the critical points and perform integration. There are 4 questions.
Seeing is Believing
Students read about AP calculus online. In this calculus lesson, students learn real life usage for calculus. They read about instructors and their experience teaching and incorporating calculus into the real world.
Functions Defined by Integrals
In this calculus worksheet, students solve functions by taking the derivative of the function. There are 3 questions with and answer key.
In this calculus worksheet, students answer questions about integrals, trig functions and natural logs. There are 20 questions mixed with multiple choices and free responses.
Twelfth graders review differential formulas and find their corresponding integration formula. In this calculus lesson, 12th graders review differential and integral formulas as it pertaining to solving calculus problems. They develop the formulas in detail, one at a time.
The Fundamental Theorem of Calculus and Area Under the Curve
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson, 12th graders differentiate between the area under the curve and the definite integral as it related to the fundamental theorem of calculus. They work lots of examples with the instructor before being on their own.
Radian Measure - An Analytic Approach
Students discover the ratio between arc length and radius. In this ratio between arc length and radius lesson, students use the Ti-Nspire to determine how arc length and radius are related. Students determine the arc length measure in radians. Students use the arcLen command on the Ti-Nspire to find the arc length measure in radians.
In this integrals learning exercise, students solve and complete 20 various types of problems. First, they evaluate each of the listed integrals shown. Then, students find the area under the graph given and above the x-axis between two points. They also find the total area bound by the x-axis and a given graph.
In this calculus worksheet, students calculate the definite integral given different functions. They evaluate the functions for given values. There are 20 questions.
AP Calculus Practice Exam
In this calculus worksheet, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
Integrals and Integration
In this calculus worksheet, students evaluate definite integrals using numbers and radians. They take the derivative to solve their equations, using trigonometric identities. There are 4 questions.
Integration By Parts and Quiz on Basic Integration Formulas
Students solve integrals using integration by parts. In this calculus lesson, students review problems using integration by parts, repeated integration by parts and constant integration. They take a Quiz after they solve review problems.
Calculus Test: Integral
For this integral worksheet, students determine the area of a region bounded by given lines. They compute the volume of a solid in a specified region. This two-page worksheet contains 10 multi-step problems.
Exploring the FTC using the TI
Learners use the Fundamental Theorem of Calculus to solve problems. In this calculus lesson, students use the TI to solve the graphing porting of the problem. They practice graphing functions and discuss their place in the real world.
Getting a Little "Lift"out of Calculus
Students, after entering the given conditions into FoilSim, apply calculus techniques to verify predictions.