Calculus Integration by U-Substitution with Lesson Video (Unit 6)
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Description
Calculus Integration by U-Substitution Lesson:
Your AP Calculus students will use "u-substitution" to integrate indefinite integrals, use a change of variables and the general power rule for integration to find an indefinite integral, evaluate definite integrals using a change of variables and u-substitution.
**(2/18/2022) Corrected homework key question 19 should have ln 2 in denominator.
What is included in this resource?
⭐ Guided Student Notes
⭐ Fully-editable SMART Board® Slides
⭐ Google Slides®
⭐ Homework/Practice assignment
⭐ Content quiz
⭐ Video Lesson Link for Distance Learning - Flipped Classroom models
⭐ Full solution set
Lesson Objective:
★ Calculate antiderivatives, evaluate definite integrals by using u-substitution and change of variables.
College Board® Topics:
Topic 6.8: Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
College Board® Learning Objectives:
FUN-6: Recognizing opportunities to apply knowledge of geometry and mathematical rules can simplify integration.
FUN-6.C: Determine antiderivatives of functions and indefinite integrals, using knowledge of derivatives.
FUN-6.C.1: ∫f(x) dx is an indefinite integral of the function f and can be expressed as ∫f(x) dx=F(x)+C , where
F'(x)=f(x) and C is any constant.
FUN-6.C.2: Differentiation rules provide the foundation for finding antiderivatives.
FUN-6.C.3: Many functions do not have closed-form antiderivatives.
The unit includes:
1) Approximating Area With Riemann Sums
2) Sigma Notation and Riemann Sums
4) Properties of Definite Integrals
5) Antiderivatives & Indefinite Integration
6) The Fundamental Theorem of Calculus
7) Integration By Substitution
8) Integration of Transcendental Functions
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AP® is a registered trademark of the College Board® which was not involved in the creation of, and does not endorse this product.
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