'Whose derivative' diaporamas de présentation

Integrals

Integrals. Start with dx -- this means "a little bit of x" or " a little change in x " If we add up a whole bunch of little changes in x, we get the " total change of x " -- A tautology question: If you add up all the changes in x as x changes from 2 to 7, what do you get? A. 0

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ANTIDERIVATIVES AND INDEFINITE INTEGRATION

ANTIDERIVATIVES AND INDEFINITE INTEGRATION. AB Calculus. ANTIDERIVATIVES AND INDEFINITE INTEGRATION. Rem: DEFN : A function F is called an Antiderivative of the function f , if for every x in f : F / (x) = f(x)

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Sec. 4.1 Antiderivatives and Indefinite Integration

Sec. 4.1 Antiderivatives and Indefinite Integration. By Dr. Julia Arnold. Antidifferentiation is the art of finding the function F(x) whose derivative would be the given function F / (x). Antidifferentiation is also called: Indefinite Integration.

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Initial Value Problems, Slope Fields

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6034 Fundamental Theorem of Calculus (Part 2)

6034 Fundamental Theorem of Calculus (Part 2). AB CALCULUS. The Indefinite Integral (Antiderivative) finds a Family of Functions whose derivative is given. Given an Initial Condition we find the Particular Function. The Definite Integral as a Particular Function :.

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5.2 Mean Value Theorem

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Integration by Parts

Integration by Parts. Method of Substitution Related to the chain rule Integration by Parts Related to the product rule More complex to implement than the Method of Substitution. Derivation of Integration by Parts Formula. Let u and v be differentiable functions of x .

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8.2 Integration by Parts

8.2 Integration by Parts. Summary of Common Integrals Using Integration by Parts. 1. For integrals of the form. Let u = x n and let dv = e ax dx, sin ax dx, cos ax dx. 2. For integrals of the form. Let u = lnx, arcsin ax, or arctan ax and let dv = x n dx. 3. For integrals of the form.

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