Fundamental Theorem of Calculus
What Fundamental Theorem of Calculus means in Mathematics A-Level, as defined for AQA, Pearson Edexcel, WJEC.
Definitions of Fundamental Theorem of Calculus
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Reference: AQA
Links differentiation and integration, with two parts: if F(x) = ∫_a^x f(t) dt, then F'(x) = f(x); and ∫_a^b f(x) dx = F(b) - F(a), where F is any antiderivative of f.
Establishes the profound connection between differentiation and integration, proving that differentiation and integration are inverse processes.
The link showing that differentiation and integration are inverse processes.
Topics that use Fundamental Theorem of Calculus
- H: Integration (AQA A-Level)
- Integration (Pearson Edexcel A-Level)
- Integration (AS Unit 1: Pure Mathematics A) (WJEC A-Level)
Related terms
- Antiderivative
- Area under a curve
- Area between curves
- Definite integral
- definite integration
- Integration by parts
- Integration by substitution
- limits of integration
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