5.4: The Fundamental Theorem of Calculus - Mathematics …
https://math.libretexts.org/Bookshelves/Calculus/Calculus_3e_(Apex)/05%3A_Integration/5.04%3A_The_Fundamental_Theorem_of_Calculus
WEBMar 17, 2024 · The Fundamental Theorem of Calculus and the Chain Rule. Part 1 of the Fundamental Theorem of Calculus (FTC) states that given \(\displaystyle F(x) = \int_a^x f(t) \,dt\), \(F'(x) = f(x)\). Using other notation, \( \frac{d}{\,dx}\big(F(x)\big) = f(x)\).
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