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Documents Page 0. Page 1 Section IThe Basics Page 2 Antiderivatives If I ask you what is the derivative of x,....

Slide 1Page 0 Slide 2 Page 1 Section IThe Basics Slide 3 Page 2 Antiderivatives If I ask you what is the derivative of x, you will say 1. If I ask you what is the antiderivative…

Documents Finding the area under a curve: Riemann, Trapezoidal, and Simpsons Rule Adguary Calwile Laura Rogers...

Slide 1Finding the area under a curve: Riemann, Trapezoidal, and Simpsons Rule Adguary Calwile Laura Rogers Autrey~ 2 nd Per. 3/14/11 Slide 2 Introduction to area under a…

Documents Rectangles moving and responding to the mouse. We want a window with a pile of rectangles in it When...

Slide 1Rectangles moving and responding to the mouse Slide 2 We want a window with a pile of rectangles in it When we click a rectangle it changes from filled to unfilled…

Documents F1 – Definite Integrals - Area under Curves as Limits and Sums IB Mathematics HL/SL & MCB4U.

Slide 1F1 – Definite Integrals - Area under Curves as Limits and Sums IB Mathematics HL/SL & MCB4U Slide 2 (A) Review We have looked at the process of anti-differentiation…

Education Riemann's Sum

Riemann’s Sum Approximating the area under a curve. Riemann’s Sum What are some ways we could approximate the area under this curve? One idea, and the idea behind Riemann’s…

Documents A Preview of Calculus

A Preview of Calculus Lesson 2.1 What Do You Think? What things could be considered the greatest achievements of the human mind? It's the Greatest! Consider that all…

Documents Developement of Surface

* MEL 110 Development of surfaces * Prism – Made up of same number of rectangles as sides of the base One side: Height of the prism Other side: Side of the base Cylinder…

Documents Section 5.4 Integration: “the Definition of Area as a Limit; Sigma Notation”

Slide 1Section 5.4 Integration: “the Definition of Area as a Limit; Sigma Notation” Slide 2 All graphics are attributed to:  Calculus,10/E by Howard Anton, Irl Bivens,…

Documents Integral as Accumulation What information is given to us by the area underneath a curve?

Slide 1 Integral as Accumulation What information is given to us by the area underneath a curve? Slide 2 Velocity and Distance So we can clearly see that the distance traveled…

Documents Questions and review Your thoughts.. Do you have a question you would like me to address?

Slide 1 Slide 2 Questions and review Your thoughts.. Do you have a question you would like me to address? Slide 3 Integrals Start with dx -- this means "a little bit…