'Definite integral' presentation slideshows

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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Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege.edu

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Ch 6.2 Antidifferentiation by Substitution Calculus Graphical, Numerical, Algebraic by Finney , Demana, Waits and Ke

Ch 6.2 Antidifferentiation by Substitution Calculus Graphical, Numerical, Algebraic by Finney , Demana, Waits and Kennedy. Indefinite Integral. Indefinite Integral: The family of all antiderivatives of a function f(x) is the indefinite integral of f with respect to x and is denoted by .

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Chapter 5: Calculus~ Hughes-Hallett

Chapter 5: Calculus~ Hughes-Hallett. The Definite Integral. Area Approximation: Left-Hand Sum. Width of rectangle: ?t Length of rectangle: f(t) Area = A, ?A = f(t) ?t. Area Approximation: Right-Hand Sum. , Approximate Total Area = 406.25

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Indefinite Integral

Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM. Indefinite Integral. Note1:. is traditionally used for an antiderivative of. Note2:. is called an indefinite integral. Example:. Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM. Indefinite Integral. definite Integral.

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Chapter 6 INTEGRATION

Chapter 6 INTEGRATION. An overview of the area problem The indefinite integral Integration by substitution The definition of area as a limit; sigma notation The definite integral The fundamental theorem of calculus Evaluating definite integrals by substitution.

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Miss Battaglia AB/BC Calculus

4-4 The Fundamental Theorem of Calculus (Day 2) Objective: Evaluate a definite integral using the Fundamental Theorem of Calculus and understand the MVT for integrals. Miss Battaglia AB/BC Calculus. Fundamental Theorem of Calculus. Connects differentiation and integration.

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4.3 Riemann Sums and Definite Integrals

4.3 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. Riemann Sums.

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Fundamental theorem of calculus II

Integrals. Integrate. Area under the curve. Fundamental theorem of calculus I. Change of variables. Fundamental theorem of calculus II. Area under the curve. 0. Area under the curve. Verify that this sum makes sense. There are values of D x that break this picture. What are they?. 0.

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Drill: Tell whether th e curve is concave up or down on the given interval

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4.5 Integration By Pattern Recognition

A Mathematics. Academy. Production. 4.5 Integration By Pattern Recognition . Integration by Pattern Recognition:. The first basic type of integration problem is in the form: . Integrate by recognizing the Pattern. Note: If . Then. Integrating we get:. Therefore, this integral

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Vector-Valued Functions

Vector-Valued Functions. Section 10.3b. Differentiation Rules for Vector Functions. Let u and v be differentiable functions of t , and C a constant v ector. 1. Constant Function Rule:. 2. Scalar Multiple Rules:. c any scalar. f any differentiable scalar function. 3. Sum Rule:.

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CHAPTER 2

CHAPTER 2. Fundamental Theorem of Calculus. 2.4 Continuity. In this lecture you will learn the most important relation between derivatives and areas (definite integrals). Evaluating Theorem If f is continuous on the interval [ a,b ] , then

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Applied Calculus (MAT 121) Dr. Day, Thur sday , April 5, 2012

Applied Calculus (MAT 121) Dr. Day, Thur sday , April 5, 2012. Revisit Supply & Demand: Consumer and Producer Surplus (6.7 ) Questions: Chapter 6? Test #5 on Friday!. Integration. Big Ideas What is an antiderivative , how do we determine one, and how do we represent it with symbols?

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Applied Calculus (MAT 121) Dr. Day, Wednesday, April 4, 2012

Applied Calculus (MAT 121) Dr. Day, Wednesday, April 4, 2012. Revisit Supply & Demand: Consumer and Producer Surplus (6.7). Integration. Big Ideas What is an antiderivative , how do we determine one, and how do we represent it with symbols?

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4.3 Riemann Sums and Definite Integrals

4.3 Riemann Sums and Definite Integrals. HW: pg 271 1-10 (all) 12-20 (even). When we find the area under a curve by adding rectangles, the answer is called a Rieman sum . The width of a rectangle is called a subinterval . The entire interval is called the partition . subinterval.

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4-6 Numerical integration (The Trapezoidal Rule)

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7.7 Approximate Integration

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