Use (1 times 2) Gauss rule to evaluate the integral (I=iint x y^{2} mathrm{~d} x mathrm{~d} y)

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Use $1 \times 2$ Gauss rule to evaluate the integral $I=\iint x y^{2} \mathrm{~d} x \mathrm{~d} y$ over the rectangular region shown in the figure. Explain why the above estimate is or is not exact.

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Introduction To Finite Element Analysis And Design

ISBN: 9781119078722

2nd Edition

Authors: Nam H. Kim, Bhavani V. Sankar, Ashok V. Kumar

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Question Posted: Mar 19, 2024 05:49 AM

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Use (1 times 2) Gauss rule to evaluate the integral (I=iint x y^{2} mathrm{~d} x mathrm{~d} y)

Question:

y 2 1 X 1

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In order to calculate the integral 2 I xy 2 dxdy We must approximate it as the sum of weighted value...View the full answer

Introduction To Finite Element Analysis And Design

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