Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule approximations from the Trapezoid Rule approximate emors for n=4, 8, 16, and 32. The exact value of the integral is given for computing the error dx=1- -48 Complete the table below 1.000000

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule approximations from the Trapezoid Rule approximations. Make a table showing the approximations and
errors for n=4, 8, 16, and 32. The exact value of the integral is given for computing the error
#
fe-
0
-6x dx=1-481.000000
Complete the table below..
(Type integers or decimals. Round to six decimal places as needed.)
Absolute Error
n
T(n)
S(n)
in T(n)
4
Absolute Error
in S(n)
Transcribed Image Text:Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule approximations from the Trapezoid Rule approximations. Make a table showing the approximations and errors for n=4, 8, 16, and 32. The exact value of the integral is given for computing the error # fe- 0 -6x dx=1-481.000000 Complete the table below.. (Type integers or decimals. Round to six decimal places as needed.) Absolute Error n T(n) S(n) in T(n) 4 Absolute Error in S(n)
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