mws_gen_int_ppt_trapcontinuous(1)

# mws_gen_int_ppt_trapcontinuous(1) - Trapezoidal Rule of...

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1/10/2010 http://numericalmethods.eng.usf.edu 1 Trapezoidal Rule of Integration Major: All Engineering Majors Authors: Autar Kaw, Charlie Barker http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates

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Trapezoidal Rule of Integration http://numericalmethods.eng.usf.edu
http://numericalmethods.eng.usf.edu 3 What is Integration Integration: = b a dx ) x ( f I The process of measuring the area under a function plotted on a graph. Where: f(x) is the integrand a= lower limit of integration b= upper limit of integration f(x) a b b a dx ) x ( f y x

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http://numericalmethods.eng.usf.edu 4 Basis of Trapezoidal Rule = b a dx ) x ( f I Trapezoidal Rule is based on the Newton-Cotes Formula that states if one can approximate the integrand as an n th order polynomial… where ) x ( f ) x ( f n n n n n n x a x a ... x a a ) x ( f + + + + = 1 1 1 0 and