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Compute the following integral using the Green's identity. In(x² + y² + 1) A ((x² + y² + 1)²) dx dy, where D := {(x,y) : x² + y² < 1}. (Hint: for any point (x, y) on the boundary JD of D, the outward unit normal direction (x, y) = (x, y)).

Compute the following integral using the Green's identity. In(x² + y² + 1) A ((x² + y² + 1)²) dx dy, where D := {(x,y) : x² + y² < 1}. (Hint: for any point (x, y) on the boundary JD of D, the outward unit normal direction (x, y) = (x, y)).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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3. Compute the following integral using the Green's identity. √In(x² + y² + 1)A ((x² + y² + 1)²) dx dy, where D := {(x,y): x² + y² < 1}. (Hint: for any point (x, y) on the boundary ID of D, the outward unit normal direction ñ(x, y) = (x, y)).
Transcribed Image Text:3. Compute the following integral using the Green's identity. √In(x² + y² + 1)A ((x² + y² + 1)²) dx dy, where D := {(x,y): x² + y² < 1}. (Hint: for any point (x, y) on the boundary ID of D, the outward unit normal direction ñ(x, y) = (x, y)).
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