Step 5 Substituting u = 7 – 6x² gives 4/3 2 4/3 (7- 6x |(7 - 6x3)3(-12x) dx = + C (7- 62) (7– 6z)/3 + C Step 6 To check the result, differentiate the antiderivative obtained in the previous step by using the Sum Rule of Differentiation. 4/3 6x + c 3 4 d 6x2 + d (C) 3 4 d Now use the Chain Rule and simplify. (-12x) 3 - (7 - (-12x) Submit Skip (you cannot come back)

Step 5 Substituting u = 7 – 6x² gives 4/3 2 4/3 (7- 6x |(7 - 6x3)3(-12x) dx = + C (7- 62) (7– 6z)/3 + C Step 6 To check the result, differentiate the antiderivative obtained in the previous step by using the Sum Rule of Differentiation. 4/3 6x + c 3 4 d 6x2 + d (C) 3 4 d Now use the Chain Rule and simplify. (-12x) 3 - (7 - (-12x) Submit Skip (you cannot come back)

Name: Please answer Step 5Substituting u = 7 – 6x2gives4/324/3(7- 6xv(7 – 6x
Uploaded: 2024-03-20T07:07:37.000Z
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Description: Please answer Step 5Substituting u = 7 – 6x2gives4/324/3(7- 6xv(7 – 6x2)1/3(-12x) dx =+ C(7-6)3(7-622)/3 + CStep 6To check the result, differentiate the antiderivative obtained in the previous step by using the Sum Rule ofDifferentiation.4/36x+ c34 d

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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