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Aproximate the following integrals by using the Trapezoidal, Simpsons and Simpsons- 3/8 rules. Use the error formula to find a bound for the error in these integrals, and compare the bound to the actual error. a) b) 1.5 [1³ 21 x² ln x dx fªrs 0 x sin(x) dx d) 0.35 2 124 dx x² 4 0 S³ e³x sin(2x) dx

Aproximate the following integrals by using the Trapezoidal, Simpsons and Simpsons- 3/8 rules. Use the error formula to find a bound for the error in these integrals, and compare the bound to the actual error. a) b) 1.5 [1³ 21 x² ln x dx fªrs 0 x sin(x) dx d) 0.35 2 124 dx x² 4 0 S³ e³x sin(2x) dx

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Aproximate the following integrals by using the Trapezoidal, Simpsons and Simpsons- 3/8 rules. Use the error formula to find a bound for the error in these integrals, and compare the bound to the actual error. a) b) 1.5 110 2² S S x sin(x) dx x² ln x dx d) 0.35 2 12 [² eile sin (2x) dx d x² - 4 dx
Transcribed Image Text:Aproximate the following integrals by using the Trapezoidal, Simpsons and Simpsons- 3/8 rules. Use the error formula to find a bound for the error in these integrals, and compare the bound to the actual error. a) b) 1.5 110 2² S S x sin(x) dx x² ln x dx d) 0.35 2 12 [² eile sin (2x) dx d x² - 4 dx
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