AP Calculus ABmediummcq1 pt
The Fundamental Theorem of Calculus states that if F'(x) = f(x), then:
A.∫ₐᵇ f(x)dx = f(b) - f(a)
B.F(x) = ∫ f(x)dx
C.f'(x) = F(x)
D.∫ₐᵇ f(x)dx = F(b) - F(a)
Explanation
Core Concept
The Fundamental Theorem of Calculus connects differentiation and integration: if F is an antiderivative of f, then the definite integral of f from a to b equals F(b) - F(a).
Correct Answer
D∫ₐᵇ f(x)dx = F(b) - F(a)
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