18. 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. 4 √(3x5-2x³) dx=1920 0 Complete the table below. (Type integers or decimals. Round to two decimal places as needed.) n T(n) S(n) 4 8 16 32 Absolute Error in Absolute Error in T(n) S(n)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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18. 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.
n
4
$ (3x³
0
Complete the table below.
(Type integers or decimals. Round to two decimal places as needed.)
Absolute Error in
T(n)
S(n)
T(n)
st
(3x5 - 2x³) dx = 1920
4
8
16
32
Absolute Error in
S(n)
Transcribed Image Text:18. 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. n 4 $ (3x³ 0 Complete the table below. (Type integers or decimals. Round to two decimal places as needed.) Absolute Error in T(n) S(n) T(n) st (3x5 - 2x³) dx = 1920 4 8 16 32 Absolute Error in S(n)
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