numerical integral(final version)

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Integration techniques

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Approximate (Numerical) IntegrationCalculus IIWhen do we use approximate integration?Situations that make it impossible to find the exact value of a definite integral:Finding the antiderivative is difficult or even impossible. Therefore there is no way to apply the Fundamental Theory of Calculus.The function is determined from a scientific experiment through collection of data or instrument readings. Example:Methods for Approximate Integration

2.Trapezoid RuleFor numerical integration

3. Simpsons Rulefor numerical integration

Pauls Online Notes http://tutorial.math.lamar.edu

Based on : Stewart Calculus 7e Early Transcendentals