'Midpoint rule' diaporamas de présentation

TECHNIQUES OF INTEGRATION

7. TECHNIQUES OF INTEGRATION. TECHNIQUES OF INTEGRATION. There are two situations in which it is impossible to find the exact value of a definite integral. TECHNIQUES OF INTEGRATION.

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TECHNIQUES OF INTEGRATION

7. TECHNIQUES OF INTEGRATION. TECHNIQUES OF INTEGRATION. There are two situations in which it is impossible to find the exact value of a definite integral. TECHNIQUES OF INTEGRATION.

1.03k views • 102 slides

Chapter 4 Numerical Differentiation and Integration

Chapter 4 Numerical Differentiation and Integration. Numerical Analysis. Overview of Numerical Integration. Midpoint Rule. Midpoint Rule. Midpoint Rule. Midpoint Rule. Midpoint Rule. Trapezoidal Rule. Trapezoidal Rule. Trapezoidal Rule. Simpson Rule. Simpson Rule. Simpson Rule.

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APPLICATIONS OF INTEGRATION

6. APPLICATIONS OF INTEGRATION. APPLICATIONS OF INTEGRATION. In this chapter, we explore some of the applications of the definite integral by using it to compute areas between curves, volumes of solids, and the work done by a varying force.

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SECTION 6.5

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Lecture 21 Integration

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To approximate the definite integral

Numerical integration is the process of approximating a definite integral using well-chosen sums of function values. It is needed when we cannot find an antiderivative explicitly, as in the case of the Gaussian function. To approximate the definite integral.

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Calculus II (MAT 146) Dr. Day Wednesday Sept 25, 2013

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Trapezoidal Rule

Trapezoidal Rule. Mt. Shasta, California. Photo by Vickie Kelly, 1998. Using integrals to find area works extremely well as long as we can find the antiderivative of the function. Sometimes, the function is too complicated to find the antiderivative.

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Find the general indefinite integral. {image}

1. 2. 3. 4. Find the general indefinite integral. {image}. {image} {image} {image} {image}. Evaluate the integral. {image}. 116.8 252 137.6 504. 1. 2. 3. 4.

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Midpoint and Trapezoidal Rules

Midpoint and Trapezoidal Rules. Approximating Integrals. There are some cases when it is impossible to find the definite integral They can be approximated by using types of Riemann sums. Midpoint Rule. Midpoints of drawn rectangles are used where . Trapezoidal Rule.

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7.7 Approximate Integration

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