Show that the composite trapezium rule with step length h yields the approximation Using the series expansion for coth x Compare this answer with the EulerMaclaurin theorem e dxh(e 1) coth 0 2...

e1 enh e edx h 0 e n1h 1 e h 2 eh sexdx 12heth ...

Show that the composite trapezium rule with step length h yields the approximation Using the series expansion

Question:

Show that the composite trapezium rule with step length h yields the approximation

e dxh(e- 1) coth 0 2

Using the series expansion for coth x

coth x = (1+ x-3x + 4x - ...) 945 X obtain the approximation Led 0 e dx (e - 1)(1+zh h 720 +30 240 h - ...)

Compare this answer with the Euler–Maclaurin theorem.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 16, 2024 03:01 AM

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Show that the composite trapezium rule with step length h yields the approximation Using the series expansion

Question:

e dxh(e-1) coth 0 2

Step by Step Answer:

e1 enh e edx h 0 e n1h 1 e h 2 eh sexdx 12heth ...View the full answer

Modern Engineering Mathematics

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