Use polar coordinates to evaluate the double integral 1 H₁+²+² dA, R1 + x² + y² where R is the sector in the first quadrant bounded by y = 0, y = x, and x² + y² = 16 NOTE: Enter the exact answer. U₁ R 1 1 + x² + y² dA=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Use polar coordinates to evaluate the double integral
1
1 + x² + y²
where R is the sector in the first quadrant bounded by
y = 0, y = x, and x² + y² = 16
₂ī
NOTE: Enter the exact answer.
1₂-
1 + x² + y²
dA=
dA,
Transcribed Image Text:Use polar coordinates to evaluate the double integral 1 1 + x² + y² where R is the sector in the first quadrant bounded by y = 0, y = x, and x² + y² = 16 ₂ī NOTE: Enter the exact answer. 1₂- 1 + x² + y² dA= dA,
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