Finding derivative with fundamental theorem of calculus | AP®︎ Calculus AB | Khan Academy
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https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-4/e/the-fundamental-theorem-of-calculus
The Fundamental Theorem of Calculus tells us that the derivative of the definite integral from 𝘢 to 𝘹 of ƒ(𝑡)𝘥𝑡 is ƒ(𝘹), provided that ƒ is continuous. See how this can be used to evaluate the derivative of accumulation functions.
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