Integral problem, does b & a change sometime in the problem?

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Homework Help Overview

The discussion revolves around an integral problem, specifically focusing on the limits of integration and how they may change with substitutions. The original poster seeks clarification on whether the values of 'a' and 'b' change during the problem-solving process.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of changing limits of integration when making substitutions in the integral. Questions arise regarding the specific values of 'a' and 'b' and their behavior throughout the problem.

Discussion Status

Some participants have provided insights into how the limits change with substitutions, indicating a productive exploration of the topic. However, there is no explicit consensus on the overall understanding of the problem yet.

Contextual Notes

The original poster mentions a specific integral problem and provides a link to an image for reference. There is a focus on the limits of integration, specifically questioning their values and changes during the problem.

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Problem number 16
http://img29.imageshack.us/img29/3179/38653938.png
For the record the y at the end is cubed. Thanks in advance.
 
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If you are referring to the limits of integration, then yes they change if you make the proper substitution that makes this integral very easy.
 
What do you mean by: "do b and a change sometime?" Are you talking about the limits of integration changing?
 
Feldoh said:
What do you mean by: "do b and a change sometime?" Are you talking about the limits of integration changing?

Yes the bounds or limits. b=2 and a=0 Why do they change to other numbers later on during the problem?
 
If you substitute, for example, [tex]u=1+y^3[/tex], then the limits will change from ya=0, yb=2 to ua=1 and ub=9. That's because you're integrating with respect to u instead of y.
 

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