Quick integrating question (part of a series question)

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    Integrating Series
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Homework Help Overview

The original poster is studying for an exam and encounters a problem related to integration, specifically in the context of using the integral test for series. They express confusion about the method for integrating a particular function and inquire about the manipulation of the term x^3.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the derivative of a related function and suggest a substitution method involving u to simplify the integration process.

Discussion Status

Some participants have offered insights into potential methods for approaching the integration, including a derivative check and a substitution suggestion. The original poster acknowledges understanding after receiving input.

Contextual Notes

The discussion revolves around integration techniques relevant to series convergence tests, with specific focus on the manipulation of terms within the integral.

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Quick integrating question...(part of a series question)

Still studying for my exam...


Came across this example and I don't know what the method is for integrating this type of problem? (I'm using it to do the integral test for series). How did they get rid of the x^3? thanks for the help :-)

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Well what's the derivative of -1/3 * exp(-x^3)?
 
Or: let u= x2 so that du= 3x2 dx.
 
ahhh...i see it now. thanks :-)
 

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