Help with understand double integral solution?

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Homework Help Overview

The discussion revolves around understanding the solution process for a double integral, specifically focusing on the steps taken to arrive at certain denominators in the integration process.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to clarify the derivation of a specific denominator in the integration steps. Questions are raised about the necessity of knowing certain formulas and whether they are typically memorized or referenced from tables.

Discussion Status

The discussion is exploring different interpretations of the integration steps, with some participants providing insights into the derivation of formulas. There is an acknowledgment of the need for understanding rather than rote memorization.

Contextual Notes

One participant notes a gap in their knowledge due to time since last studying calculus, which may affect their understanding of the current problem.

Chandasouk
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http://img844.imageshack.us/img844/3293/17693169.jpg

I follow it up to the third step, but how did they get the bottom denominators of -4? shouldn't it be -1?
 
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∫(ax+b)ndx = (1/a(n+1))(ax+b)n+1+C

In their case, n=-2 and a=4
 
Oh, should I know that formula or do most people look that up in a table? Been a while since I did Calc 2.
 
Chandasouk said:
Oh, should I know that formula or do most people look that up in a table? Been a while since I did Calc 2.
You don't need to know that formula, but you should know how to derive it. rockfreak.667 used a very simple substitution to get it.
 

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