Calculate the integral I = = • (y² + z²) dx + (z² + x²) dy + (x² + y²) dz where I is the Intersecting line of the sphere x2 + y2 + z2 = 2Rx and the cylinder x2 + y² = 2ax (0 < a < R, z > 0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Calculate the integral
I =
= • (y² + z²) dx + (z² + x²) dy + (x² + y²) dz
where I is the Intersecting line of the sphere x2 + y2 + z2 =
2Rx and the cylinder x2 + y² = 2ax (0 < a < R, z > 0).
Transcribed Image Text:Calculate the integral I = = • (y² + z²) dx + (z² + x²) dy + (x² + y²) dz where I is the Intersecting line of the sphere x2 + y2 + z2 = 2Rx and the cylinder x2 + y² = 2ax (0 < a < R, z > 0).
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