Intermediate value theorem
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Khan Academy
Intermediate value theorem
Discover the Intermediate Value Theorem, a fundamental concept in calculus that states if a function is continuous over a closed interval [a, b], it encompasses every value between f(a) and f(b) within that range. Dive into this foundational theorem and explore its connection to continuous functions and their behavior on intervals.
Aug 14, 2016
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📚 Fundamental Theorem of Calculus — Quick Explanation Here’s why this FTC Part 2 calculation doesn’t work: the integrand 1/x² is not continuous on the entire interval from –1 to 2. Since the function is undefined at x = 0, the Fundamental Theorem of Calculus Part 2 cannot be applied to this integral. If you’re learning FTC in Calc 1 or AP Calculus, this is an important idea to keep in mind when evaluating definite integrals. 👉 Full lesson: Examples of the Fundamental Theorem of Calculus Part 2
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📚 Fundamental Theorem of Calculus — Quick Explanation Here’s why this
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