Set up but do not evaluate an integral that represents the volume of the solid of revolution obtained by rotating the region bounded by the curves y = - -x² + 4 and y = -x + 2 about the x-axis. 7 S₁ [(-2² + 4 [(-x² + 4) − (−x + 2)]² dx ~ S₁ [(-x + 2)² − (−x² + 4)²] da T ° 7 S², [(−2² + 4)² − (−x + 2)²] dr dx ㅠ 0 2π • S₁ [(−x² + 4) − (−x + 2)] da © 20/₁ 2π x [(−x + 2) − (−x² + 4)] dx -1
Set up but do not evaluate an integral that represents the volume of the solid of revolution obtained by rotating the region bounded by the curves y = - -x² + 4 and y = -x + 2 about the x-axis. 7 S₁ [(-2² + 4 [(-x² + 4) − (−x + 2)]² dx ~ S₁ [(-x + 2)² − (−x² + 4)²] da T ° 7 S², [(−2² + 4)² − (−x + 2)²] dr dx ㅠ 0 2π • S₁ [(−x² + 4) − (−x + 2)] da © 20/₁ 2π x [(−x + 2) − (−x² + 4)] dx -1
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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