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1. Use Numerical methods to approximate the following integrals (a) (x +y)dxdy , n = m = 3

1. Use Numerical methods to approximate the following integrals (a) (x +y)dxdy , n = m = 3

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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Activity 4.5 1. Use Numerical methods to approximate the following integrals (a) ix +y)dxdy , n= m = 3
Transcribed Image Text:Activity 4.5 1. Use Numerical methods to approximate the following integrals (a) ix +y)dxdy , n= m = 3
Expert Solution
Step 1: Formula used and given.

Trapezoidal rule:

∫cd∫abf(x, y)dxdy=h2fa, y+2fa+h, y+fa+2h, y+⋯+fa+n-1h, y+fb, ydy, where h=b-an.

Given: (a) ∫12∫12x+ydxdy, n=m=3

 

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