Antiderivatives and Slope Fields: Calculus: TI Math Nspired

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Antiderivatives and Slope Fields

Indefinite integration, or antidifferentiation, is the process of recovering a function from its derivative. In particular, recovering a position function from a velocity function is an important application example. A slope field is a powerful tool that takes advantage of the idea of local linearity to provide a graphical interpretation for antiderivatives. The unit also includes other lessons on the most important symbolic techniques of indefinite integration are the method of substitution and integration by parts.

Calculus: Antiderivatives and Slope Fields Activities

Title
Integration By Parts Students investigate the product rule of differentiation and integration by parts. Standards \| Textbook	3331	12
Integration By Substitution Students explore methods for computing integrals of functions that are not in one of the standard forms. Standards \| Textbook	3065	12
Slope Fields Introduction Explore the concept of slope field to the first order differential equation. Standards \| Textbook	5197	20
Slope Fields Use a visual representation of the family of solutions to a differential equation. Standards \| Textbook	4869	11
Elevator Height as Integral of Velocity Work with linked representations of the vertical motion of an elevator. Standards \| Textbook	4531	9
Velocity, Position, Distance Work with linked representations of the horizontal motion of an object. Standards \| Textbook	4604	10