'Definite integrals' presentation slideshows

Chapter 6 The Definite Integral

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The Definite Integral

The Definite Integral. Riemann Sums. Sigma notation enables us to express a large sum in compact form. Riemann Sums. LRAM, MRAM,and RRAM are examples of Riemann sums S n =

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MATH 1910 Chapter 4 Section 3 Riemann Sums and Definite Integrals

MATH 1910 Chapter 4 Section 3 Riemann Sums and Definite Integrals. Objectives. Understand the definition of a Riemann sum. Evaluate a definite integral using limits. Evaluate a definite integral using properties of definite integrals.

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Section 4.3 Riemann Sums and The Definite Integral

Section 4.3 Riemann Sums and The Definite Integral. Area under a curve. The other day we found the area under a curve by dividing that area up into equal intervals (rectangles of equal width).

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Calculus

Calculus. Weijiu Liu Department of Mathematics University of Central Arkansas. Overview. What is calculus? . Calculus is a subject about the study of limiting processes and it consist of three basic concepts: limit, differentiation , and integration . Who founded calculus?.

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Section 5.9 Approximate Integration

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4.5 Integration by Substitution

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5.6 Integration by Substitution Method (U-substitution) Thurs Feb 20

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Semester Exam Review

Semester Exam Review. AP Calculus. Limits (algebraically & by graph) Find derivatives using limit definition Given a graph, sketch derivative graph Derivatives Power Rule Chain Rule Product/Quotient Rules , , ln x Trig derivatives Inverse trig derivatives

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Applications of Definite Integrals

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6.2 Integration by Substitution & Separable Differential Equations

6.2 Integration by Substitution & Separable Differential Equations. Greg Kelly Hanford High School Richland, Washington. M.L.King Jr. Birthplace, Atlanta, GA. Photo by Vickie Kelly, 2002.

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259 Lecture 18

259 Lecture 18. The Symbolic Toolbox. The Symbolic Toolbox. MATLAB has a set of built-in commands that allow us to work with functions in a fashion similar to Mathematica .

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PROGRAMME 17

PROGRAMME 17. REDUCTION FORMULAS. Generating a reduction formula Definite integrals Integrands of the form and. Programme 17: Reduction formulas. Programme 17: Reduction formulas. Generating a reduction formula Definite integrals Integrands of the form and.

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5.5 The Substitution Rule

5.5 The Substitution Rule. The Substitution Rule. If u=g(x) is differentiable function whose range is an interval I , and f is continuous on I , then The Substitution rule is proved using the Chain Rule for differentiation.

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6.1 Integration by parts

6.1 Integration by parts. Formula for Integration by parts. The idea is to use the above formula to simplify an integration task. One wants to find a representation for the function to be integrated in the form udv so that the function vdu is easier to integrate

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Integration by Simple Substitution

Integration by Simple Substitution. Example 1. Example 2. Example 3. Example 4. Example 5. Definite Integrals of Odd and Even Functions. Example 6. Example 7.

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8 TECHNIQUES OF INTEGRATION

8 TECHNIQUES OF INTEGRATION.

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Integration by parts

Integration by parts. Just the product rule in integral form Integration by parts formula u, v-form of rule Various model examples. Integration by parts = product rule in reverse. Integration by Parts Formulae. Examples. Definite Integrals and I.B.P. Multiplying by 1.

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