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(5) A student used "U-substitution" 3 integral: S x² √√9- x² dx By using the following steps: Let U = 9-x² du = -2x dx - du 2xdx x² =√19-u substituting following ←つ answer: = 9-x² : =-12/20 · =√ S 2 - on the du √x.x²³ √ 9-x²³ dx X = S-² (9-~) u ²² 3/2 1/2 90²² - 0² qu du du After integrating and the student got the | 1 (9-x²15¹/²2 -3 (9-x² √²¹/²2 + c)

(5) A student used "U-substitution" 3 integral: S x² √√9- x² dx By using the following steps: Let U = 9-x² du = -2x dx - du 2xdx x² =√19-u substituting following ←つ answer: = 9-x² : =-12/20 · =√ S 2 - on the du √x.x²³ √ 9-x²³ dx X = S-² (9-~) u ²² 3/2 1/2 90²² - 0² qu du du After integrating and the student got the | 1 (9-x²15¹/²2 -3 (9-x² √²¹/²2 + c)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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(5) A student used "U-Substitution" the
Transcribed Image Text:(5) A student used "U-Substitution" the
5 A student used "U-Substitution" integral: S x² √√9- x² dx By using the following steps: Let U = 9-x² du = -2x dx - du zxdx x² = 19-u substituting following answer i 3 7 = answer. - du S x• x² √9-x² dx 1/2 = √5 - = (9-~) ~² и the qu 1/2 U 3/2 9-x² | 3 (9-x²)5¹/2² -3 (9-x²) ³/²2 du After integrating and the student got the +C du 3 Your job is to Redo S x² √9-x² dx using Trigonometric Substitution and show you get the (show all steps). Same
Transcribed Image Text:5 A student used "U-Substitution" integral: S x² √√9- x² dx By using the following steps: Let U = 9-x² du = -2x dx - du zxdx x² = 19-u substituting following answer i 3 7 = answer. - du S x• x² √9-x² dx 1/2 = √5 - = (9-~) ~² и the qu 1/2 U 3/2 9-x² | 3 (9-x²)5¹/2² -3 (9-x²) ³/²2 du After integrating and the student got the +C du 3 Your job is to Redo S x² √9-x² dx using Trigonometric Substitution and show you get the (show all steps). Same
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