Solving a Dynamics Integral: Strategies and Tips for the 14-0.0003v2 Term

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SUMMARY

The discussion centers on solving the integral ∫dv/(14-0.0003v²), a common problem in dynamics. The user expresses difficulty in handling the term 14 in the denominator, seeking strategies for simplification. A key suggestion provided is to utilize partial fractions to facilitate the integration process. This approach is essential for breaking down the integral into more manageable components.

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Homework Statement


I'm doing a dynamics question and I'm stuck with an integral.
dv
------------------------
14-0.0003v2

The Attempt at a Solution


I know how to do it without the 14 term, but not this way. In fact, don't really have any ideas either. I mean, if the bottom could be expressed as a square of a difference, that would make it easier, but in this way, I don't know.

Thanks for any help
 
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Melawrghk said:
I'm doing a dynamics question and I'm stuck with an integral.
dv
------------------------
14-0.0003v2

Hi Melawrghk! :smile:

Do you mean ∫dv/(14-0.0003v2) ?

Hint: partial fractions. :wink:
 

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