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a) Prove the following: If f(x) is an integrable function with antiderivative F(x), and a, b are constants with a = 0, then b) Use the statement above to quickly compute these integrals. You do not need to show work for these if you successfully completed part a). Otherwise, you must show work! i) fer-ld dr ii) √ √2 - x dr [ f(ax + b) dx = - F(ax + b) + C a √ ° dr √1-(4x +9)²

a) Prove the following: If f(x) is an integrable function with antiderivative F(x), and a, b are constants with a = 0, then b) Use the statement above to quickly compute these integrals. You do not need to show work for these if you successfully completed part a). Otherwise, you must show work! i) fer-ld dr ii) √ √2 - x dr [ f(ax + b) dx = - F(ax + b) + C a √ ° dr √1-(4x +9)²

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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a) Prove the following: If f(x) is an integrable function with antiderivative F(x), and a, b are constants with a = 0, then [ f(ax + b) dx = F(ax + b) + C b) Use the statement above to quickly compute these integrals. You do not need to show work for these if you successfully completed part a). Otherwise, you must show work! i) fe³-1 dr ii) √2-T − x dx 1 √ √₁-( - (4x + 9)² dx
Transcribed Image Text:a) Prove the following: If f(x) is an integrable function with antiderivative F(x), and a, b are constants with a = 0, then [ f(ax + b) dx = F(ax + b) + C b) Use the statement above to quickly compute these integrals. You do not need to show work for these if you successfully completed part a). Otherwise, you must show work! i) fe³-1 dr ii) √2-T − x dx 1 √ √₁-( - (4x + 9)² dx
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