More Integral Exchange: Integration By Parts
In this integration worksheet, students explore methods of integration and explore integration by substitution. This two-page worksheet contains examples, explanations, and six multi-step problems.
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Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
9th - Higher Ed Math CCSS: Adaptable
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
11th - Higher Ed Math CCSS: Adaptable
Properties of the Definite Integral
What are the properties that can be associated with the definite integral? The AP Calculus video lists nine properties of the definite integral and provides explanations of why the properties hold for integrals in language that is simple...
8 mins 11th - Higher Ed Math
Sketching a Graph from a Story Problem
One of the beauties of mathematics is the ability to take words and turn them into symbols. The lesson uses a graph to tell a story, and translates a description of water changing temperatures into a graph. The instructor then reviews...
4 mins 11th - Higher Ed Math CCSS: Adaptable
Solving Integrals Using Substitution
The concept of solving integrals by substitution with trigonometric functions is modeled by a video designed for AP Calculus classes. The narrator works an example problem using substitution and shows that careful substitution makes...
3 mins 11th - Higher Ed Math