How Do I Match Integrals to the Correct Formulas in Integral Tables?

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Homework Help Overview

The discussion revolves around matching integrals to the appropriate formulas in integral tables. The original poster presents two specific integrals they are struggling with and seeks assistance in identifying the correct entries in the provided integral table.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses frustration over their inability to find the correct integrals in the table after significant effort. They mention using polynomial division and reference specific formulas from the table. Other participants question the application of certain formulas and suggest alternatives.

Discussion Status

Participants are actively engaging with the problem, with some suggesting specific formulas to consider. There is a lack of consensus on the correct approach, but multiple lines of reasoning are being explored.

Contextual Notes

The original poster indicates a time constraint and expresses urgency in finding a solution. They also mention difficulties with external resources like Wolfram Alpha, which adds to their frustration.

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Moved from a technical math section, so no template
I would really appreciate it if people could help with these integrals.
We are supposed to be doing integrals with this table here:
http://math.boisestate.edu/~wright/courses/m333/IntegralTablesStewart.pdf

Here are the two integrals.
Technically, I only need one of them completed.
http://s8.postimg.org/nobr36u51/Screenshot_245.png
http://s10.postimg.org/yl71ys3nt/Screenshot_247.png Jesus
I have been working at both of these for over an hour which is not a good idea, but they are just not making sense.

For one, wolfram alpha isn't even working.
After doing poly division with (screenshot)247, I've been getting nowhere.

For 245, I just cannot find a single integral on the whole table to use.
I would really appreciate a quick solution. An answer would be nice but pointing out EXACTLY which integral in the table is needed for each would be great as well... Especially because I have LITERALLY been working on these for... now 2 hours.
 
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\int{ \frac{-1}{x^2 \sqrt{4x^2 + 9 } } } dx
How did you get logarithms? Did you apply formula 28 ?
 
No, I tried a lot of ones like 62 where they have u terms on the bottom outside of the sqrt.
 
Try 28.
 

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