Stuck on the integration. Help me please

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    Integration Stuck
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Homework Help Overview

The discussion revolves around a problem related to integration and algebraic simplification. Participants are exploring methods to simplify an equation encountered during the integration process.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are sharing algebraic manipulations and questioning the validity of their results compared to a textbook answer. There are inquiries about potentially simpler methods for simplification.

Discussion Status

The discussion is ongoing, with participants offering algebraic insights and questioning the effectiveness of their approaches. Some guidance has been provided, but no consensus has been reached regarding the best method for simplification.

Contextual Notes

There are references to discrepancies between participants' results and those found in a textbook, indicating a potential misunderstanding or misalignment in the problem setup or assumptions.

Kinetica
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Homework Statement



Hello! I am in the middle of the integration process. Can you give me suggestions on how to simplify the last equation? Thank you!

Please see the attached snapshot of my work.
 

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If I do some algebra, I get

(a+b)^3 - (a-c)^3 = 3a^2(b-c) +3a(b^2-c^2) +b^3-c^3

Does that help?
 
Hi! I did it and it yields results different from the book answer.
Can here be a simpler method of simplification?
 
Kinetica said:

Homework Statement



Hello! I am in the middle of the integration process. Can you give me suggestions on how to simplify the last equation? Thank you!

Please see the attached snapshot of my work.

I just glanced at the problem but I think this really very extremely super-duper basic elementary algebra trick would help:

$$ x^3-y^3=(x-y)(x^2+xy+y^2$$
 

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