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
Related questions
Question
![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
π ſ²₁ [(-x + 2)² − (−x² + 4)²] da
° π S₁ ((−2³² + 4)² − (−2 + 2)²³] dr
ㅠ
O
0 2π
°
[(−x² + 4) − (−x + 2)]² dx
• S₁ [(−x² + 4) − (−x + 2)] da
2π
Lall
-1
x [(−x + 2) − (−x² + 4)] dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f6d8bf8-a5f8-4d66-adfd-4ce3b5a3b722%2F2932f1a1-0166-46ec-9123-2e745bdd5970%2F90r8xr_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
π ſ²₁ [(-x + 2)² − (−x² + 4)²] da
° π S₁ ((−2³² + 4)² − (−2 + 2)²³] dr
ㅠ
O
0 2π
°
[(−x² + 4) − (−x + 2)]² dx
• S₁ [(−x² + 4) − (−x + 2)] da
2π
Lall
-1
x [(−x + 2) − (−x² + 4)] dx
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