Unit 6 · Integration and Accumulation of Change
Chapter 6.4
The Fundamental Theorem, Part 2: Evaluating Integrals
The theorem flips into a computing tool: any antiderivative evaluates any definite integral in two substitutions.
11–15 min · free · lesson 33 of 46
By the end
- 01Apply properties of definite integrals (linearity, additivity, reversed bounds)
- 02Evaluate definite integrals with antiderivatives
In unit 6
- 6.1Accumulation: The Other Half of Calculus10–14
- 6.2Riemann Sums and the Definite Integral12–16
- 6.3The Fundamental Theorem, Part 1: Accumulation Functions12–16
- 6.4The Fundamental Theorem, Part 2: Evaluating Integrals11–15
- 6.5Antiderivatives10–14
- 6.6Substitution11–15
- 6.7Harder Antiderivatives and Choosing a Technique11–15