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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 = x +3 and y x2+1 about the line x =-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 = x +3 and y x2+1 about the line x =-1.

Advanced Engineering Mathematics
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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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 = x +3 and y = x² +1 about the line x =-1. + 3)2- (x² + 1)°] dæ 25/(2+1): [(-+3) - ( + 1) dz O 2 (2-1) [(z+ 3) – (2* + 1)] dz -1 27T (1 – x) · [(x² + 1) – (x + 3)] dx -1 .2 27T (x + 1) · [(x² + 1) – (x + 3)] dæ -1
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 = x +3 and y = x² +1 about the line x =-1. + 3)2- (x² + 1)°] dæ 25/(2+1): [(-+3) - ( + 1) dz O 2 (2-1) [(z+ 3) – (2* + 1)] dz -1 27T (1 – x) · [(x² + 1) – (x + 3)] dx -1 .2 27T (x + 1) · [(x² + 1) – (x + 3)] dæ -1
Find the volume of the solid obtained by rotating about the x-axis the region bounded by the curve y = VI 0 and x andy = 1 and 1 and they- axis between x =D1. 4 2. 3 8. От
Transcribed Image Text:Find the volume of the solid obtained by rotating about the x-axis the region bounded by the curve y = VI 0 and x andy = 1 and 1 and they- axis between x =D1. 4 2. 3 8. От
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