6.8 Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
- Syllabus
- 2020
- Topic
- 6.8
- Level
- —
FUN-6.C—Determine antiderivatives of functions and indefinite integrals, using knowledge of derivatives
- 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.
- Enduring understanding FUN-6: Recognizing opportunities to apply knowledge of geometry and mathematical rules can simplify integration.
Objective notes
1 learning objectiveConceptAP Calculus BC