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[null,"Trapezoidal Integration Rule"]
[null,null,null,null,null,null,null,null,null,null,null,null,"www.numerical-methods.com"]
[null,"This spreadsheet computes the approximation to an integral using the trapezoidal integration rule."]
[null,null,null,null,null,null,null,null,null,null,null,null,"source","http://www.numerical-methods.com/integration/Trapezoidal Integration Rule.xlsm"]
[null,"The integral to be approximated is showm to the right and the function f(x) can be defined using Alt-F11.",null,null,null,null,null,null,null,null,null,null,"guide","http://www.numerical-methods.com/integration/Trapezoidal Integration Rule.htm"]
[null,"In this example f(x)=EXP(x). The limits a and b on the integral can be set in the yellow cells below."]
[null,"The number of subdomains n can also be set in yellow below."]
[null,"Note that the number of function evaluations is n+1."]
[]
[null,null,"a=",0,null,"b=",1]
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[null,null," n= (max=100)",4,null,"h=",{"$f":"(b-a)/n","v":0.25}]
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[null,null,null,"f(x^*)"]
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[null,1,{"$f":"a+hh","v":0.25},{"$f":"IF(B20<>\"\",f(C20),\"\")","v":1.2840254166877414},null,null,"Integral using Trapezoidal rule =",null,null,{"$f":"hh*(SUM(D19:D121)-f(a)/2-f(b)/2)","v":1.7272219045575166}]
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