'3 dx' diaporamas de présentation

INTEGRALS

5. INTEGRALS. INTEGRALS. 5.5 The Substitution Rule. In this section, we will learn: To substitute a new variable in place of an existing expression in a function, making integration easier. INTRODUCTION. Equation 1.

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Integrals

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Integrals

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4.3- 4.4

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Moment of Inertia Area Moment of Inertia MET 2214

Moment of Inertia Area Moment of Inertia MET 2214. MOMENTS OF INERTIA FOR AREAS, RADIUS OF GYRATION OF AN AREA, & MOMENTS OF INTERTIA BY INTEGRATION. Objectives : You will be able to: a) Define the moments of inertia (MoI) for an area. b) Determine the MoI for an area by integration.

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Section 4.3

Section 4.3. Let u = x 2 +1. Then du = 2x dx and the integral becomes. And reversing the substitution yields:. ? e u du = e u + C. Let u = x 5 . Then du = 5x 4 dx and the integral becomes. And reversing the substitution yields:.

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MOMENTS OF INERTIA (Chapter 10)

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MOMENTS OF INERTIA FOR AREAS, RADIUS OF GYRATION OF AN AREA, & MOMENTS OF INTERTIA BY INTEGRATION

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FAUZIAH MAT Applied Mechanics Division School of Mechatronic Engineering

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MOMENTS OF INERTIA FOR AREAS, RADIUS OF GYRATION OF AN AREA, & MOMENTS OF INTERTIA BY INTEGRATION

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Section 4.5 Notes

Section 4.5 Notes. 1 st Day. HW: p.304 (11-37 odd, 43-61odd). Finding the Antiderivative of a Composite Function. or Let u = g ( x ), then du = g ?( x ) dx and The last form is called u-substitution . One technique of using u-substitution is called pattern recognition. Examples.

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Chapter 6 Integration

Chapter 6 Integration. Section 1 Antiderivatives and Indefinite Integrals. Learning Objectives for Section 6.1 Antiderivatives and Indefinite Integrals. The student will be able to formulate problems involving antiderivatives.

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4.3- 4.4

4.3- 4.4. Fundamental Theorem of Calculus Indefinite Integrals. Net Area on interval [-1,9] is?. Example: Evaluate A(x). Using geometry:. Using integration:. 4.5. Substitution Rule. Find ? x 3 cos ( x 4 + 2) dx . Solution:

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Topics In Integral Calculus

Topics In Integral Calculus. 260 BC Archimedes found the area of a circle, the volume of a sphere, the surface area of a sphere and the area under the graph of a parabola .

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AP Calculus BC Monday , 18 November 2013

AP Calculus BC Monday , 18 November 2013. OBJECTIVE TSW use integration by subsitution . ASSIGNMENT DUE Sec. 4.1 ? wire basket Tests are graded. Look on line for your score. Due to time constraints, we will not go over them in class.

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