How to 🏃💨 QUICKLY set up Riemann sum approximations 📶 #apcalculus #apcalc #unit6 #shorts

We outline how to set up Riemann sums to approximate the area under a curve, using left endpoints, right endpoints, and midpoints (we look at the left endpoint approximation, the right endpoint approximation, and the midpoint approximation for the same curve). We also show that, when a curve is increasing through the interval, left endpoints underestimate area, right endpoints overestimate area, and midpoints do the best job estimating area.

Unit 6 of AP Calculus is all about Integration and Accumulation of Change:
6.1 Exploring Accumulations of Change
6.2 Approximating Areas with Riemann Sums
6.3 Riemann Sums, Summation Notation, and Definite Integral Notation
6.4 The Fundamental Theorem of Calculus and Accumulation Functions
6.5 Interpreting the Behavior of Accumulation Functions Involving Area
6.6 Applying Properties of Definite Integrals
6.7 The Fundamental Theorem of Calculus and Definite Integrals
6.8 Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
6.9 Integrating Using Substitution
6.10 Integrating Functions Using Long Division and Completing the Square
6.11 Integrating Using Integration by Parts (BC only)
6.12 Using Linear Partial Fractions (BC only)
6.13 Evaluating Improper Integrals (BC only)
6.14 Selecting Techniques for Antidifferentiation

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Видео How to 🏃💨 QUICKLY set up Riemann sum approximations 📶 #apcalculus #apcalc #unit6 #shorts канала Krista King