Hey, it’s Integrals! Yay! In this unit, you establish the relationship between integrals and derivatives using the Fundamental Theorem of Calculus. Beginning doing some contextual explanations of integrals. Similar to Differentiation - Definition and Fundamental Properties this unit is a building block to using Integrals in more complex problems.
Topics
- Exploring Accumulations of Change
- Approximating Areas with Riemann Sums
- Riemann Sums, Summation Notation and Definite Integral Notation
- The Fundamental Theorem of Calculus and Accumulation Functions
- Interpreting the Behavior of Accumulation Functions Involving the Area
- Applying Properties of Definite Integrals
- the Fundamental Theorem of Calculus and Definite Integrals
- Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
- Integration Using Substitution
- Integrating Functions Using Long Division and Completing the Square
- Integrating Using Integration by Parts(Calc BC Only But it’s useful)
- Selecting Techniques for Antidifferentiation