Lecture 16 (Calculus) Definite Integrals and The Fundamental Theorem of Calculus

Which statement most accurately captures Part 1 of the Fundamental Theorem of Calculus?

1. A.If f is continuous on [a, b], then d/dx ∫_a^x f(t) dt = f(x) for x in (a, b)
2. B.If f is continuous on [a, b], then ∫_a^b f(x) dx = f(b) − f(a)
3. C.If F is any antiderivative of f, then d/dx F(x) = ∫_a^x f(t) dt
4. D.If f is integrable, then every antiderivative of f is itself continuous