Integrals Teacher Resources
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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 five-page worksheet contains 14 problems.
10th - 11th Math 6 Views 22 Downloads
Computing Indefinite Integrals
High schoolers 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, sum/difference and scalar product transformations.
9th - 12th Math 3 Views 14 Downloads
Exploration 4: Definite Integrals by Trapezoidal Rule
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 approximately 20 problems.
10th - 12th Math 7 Views 13 Downloads
Exploration 3: Introduction to Definite Integrals
In this integral activity, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page activity contains approximately 40 problems.
11th - 12th Math 8 Views 21 Downloads
Area Under A Curve
Students use the derivative and integral to solve problems involving areas. In this calculus lesson, students calculate the area under a curve as they follow a robot off road making different curves along the drive. They use Riemann Sums and Trapezoidal rules to solve the problem.
9th - 11th Math 8 Views 22 Downloads
Area Under the Curve
Students explore integral calculus. In this calculus instructional activity, students explore the relationship between the area under the graph of a functions and the integral of the function. Students also discover the rule for the integral of f(x)=ax^n.
11th - 12th Math 3 Views 7 Downloads
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.
11th - 12th Math 3 Views 0 Downloads
Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
10th - Higher Ed Math 5 Views 16 Downloads
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.
12th - Higher Ed Math 3 Views 16 Downloads