23. Evaluate surface integral gdS, where g(x, y, z) = x2 + 2x² – 3xy and S is the portion of plane 2.x - 3y + z = 6 that lies over unit squareR: 0≤x≤ 1,0 ≤ y ≤ 1. Graph surface S.

We have to find the value of ∫∫gds The procedure is given below

Answered: 23. Evaluate surface integral gds,…

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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23. Evaluate surface integral gds, where g(x, y, z) = xz+ 2x² – 3xy and S is the portion of plane 2x - 3y +z = 6 that lies over unit square R: 0≤x≤ 1,0 ≤ y ≤ 1. Graph surface S.