Trapezoid Rule and Simpson's Rule Consider the following integrals and the given values of n. a. Find the Trapezoid Rule approximations to the integral using n and 2n subintervals. b. Find the Simpson's Rule approximation to the integral using 2n sub- intervals. It is easiest to obtain Simpson's Rule approximations from the Trapezoid Rule approximations, as in Example 8. c. Compute the absolute errors in the Trapezoid Rule and Simpson's Rule with 2n subintervals. /4 dr 1 + x in = 64

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Trapezoid Rule and Simpson's Rule Consider the following
integrals and the given values of n.
a. Find the Trapezoid Rule approximations to the integral using n and
2n subintervals.
b. Find the Simpson's Rule approximation to the integral using 2n sub-
intervals. It is easiest to obtain Simpson's Rule approximations from
the Trapezoid Rule approximations, as in Example 8.
c. Compute the absolute errors in the Trapezoid Rule and Simpson's
Rule with 2n subintervals.
/4
dr
1 + x
in = 64
Transcribed Image Text:Trapezoid Rule and Simpson's Rule Consider the following integrals and the given values of n. a. Find the Trapezoid Rule approximations to the integral using n and 2n subintervals. b. Find the Simpson's Rule approximation to the integral using 2n sub- intervals. It is easiest to obtain Simpson's Rule approximations from the Trapezoid Rule approximations, as in Example 8. c. Compute the absolute errors in the Trapezoid Rule and Simpson's Rule with 2n subintervals. /4 dr 1 + x in = 64
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