Advanced Engineering Mathematics
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ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:Use the Simpson's Rule to approximate the value of the definite integral.
3
[3
Simpson's Rule
dx,
n = 6
Find a bound on the error in approximating the definite integral using the
Simpson's Rule
3
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- 10+ Represent the LENGTH of f(x) for -1 ≤x≤ 3 as a definite integral •L LENGTH= Red f(x) = 5 + x² Then use your calculator to evaluate the integral as a decimal number (rounded to 1 decimal places). LENGTH= Remember: for trig functions you must be in radian mode. dxarrow_forwardUse the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of n. Round your answers to four decimal places and compare the results with the exact value of the definite integral. Trapezoidal Simpson's exact 8 (x + 1)² dx, n = 4arrow_forwardUse the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of n. Round your answer to four decimal places and compare the results with the exact value of the definite integral.arrow_forward
- Please show all steps !arrow_forwardUse the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the indicated value of n. Compare these results with the exact value of the definite integral. (Round your answers to four decimal places.) 6² (³²+3) 0 Trapezoidal Rule Simpson's Rule exact value dx, n = 4arrow_forward
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