Let S be an open subset in C and f EC¹(2). Let R be a closed rectangle with vertices v₁ = a +ic, v₂=b+ic, v3=b+id, v4=b+id in Q2. We have 1 ]] 3fdx dy = dx dy = 2; f(z)dz. 2i JaR R
Let S be an open subset in C and f EC¹(2). Let R be a closed rectangle with vertices v₁ = a +ic, v₂=b+ic, v3=b+id, v4=b+id in Q2. We have 1 ]] 3fdx dy = dx dy = 2; f(z)dz. 2i JaR R
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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Transcribed Image Text:Let be an open subset in C and f EC¹(2). Let R be a closed rectangle with
vertices v₁ = a +ic, v₂=b+ic, v3=b+id, v4=b+id in Q2. We have
af
JJ R dx dy = 2/₁ f (2) dz.
21
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