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Fundamental Theorem of Calculus
Why area-so-far recovers the integrand · BC Calculus · greeting
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A(x) = ∫ₐˣ f(t) dt
"area so far"
If f continuous,
A′(x) = f(x)
Owl:
Why should accumulation and antidifferentiation be two faces of the same idea — and what continuity assumptions quietly sit underneath?
You:
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