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13 Nov 2019
If fx) is a continous function on a closed interval [a,b]. the trapezoidal rule says that the definite integral f(x)dr is approximately equal to Here is the number of subdivisions of la,b] into smaller subintervals [4. 1.k리 " ". where x.-a+hk.h=b-a. For simplicity, we use a=0,b=1,f(x)-x2. It is easy to see that fx'dr-i. which allows us to calculate directly the error made by the trapezoidal rule T (h) Use fractions only and abstain from using decimal Calculate fractions in order to avoid rounding errors. Calculate the error 1) in the case n=4, 8, 16 . T(h)- in all three cases
If fx) is a continous function on a closed interval [a,b]. the trapezoidal rule says that the definite integral f(x)dr is approximately equal to Here is the number of subdivisions of la,b] into smaller subintervals [4. 1.k리 " ". where x.-a+hk.h=b-a. For simplicity, we use a=0,b=1,f(x)-x2. It is easy to see that fx'dr-i. which allows us to calculate directly the error made by the trapezoidal rule T (h) Use fractions only and abstain from using decimal Calculate fractions in order to avoid rounding errors. Calculate the error 1) in the case n=4, 8, 16 . T(h)- in all three cases
Irving HeathcoteLv2
6 Jun 2019