Developing Integration

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Integration

Introducing the Definite Integral Through the Area Model

answers

The Fundamental Theorem of Calculus and The Accumulation Function

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Examples of the Accumulation Function

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Exploring the Accumulation Function

 

Using the LMRRAM Program with y = x2

Using the LMRRAM Program with y = x2 sin(x)

The Trapezoidal Rule

(Trapezoidal Program)

 

Trapezoidal Approximation for Definite Integrals

Approximating Area with Rectangles

 

Developing an Understanding for the Accumulation Function Using Graphs and Tables

 

Reimann Sums with LRAM, MRAM, and RRAM

(NUMINT Program)

(LMRRAM Program)

 

Developing an Understanding for the Definite Integral

 

Developing an Understanding for the Definite Integral

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Exploring Signed Area

Exploring Area Bounded by the x-axis and a Function

 

Investigating Finding Area using Reimann Sums and Trapezoids

 

 

Functions Defined by Integrals

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