Looking for table of primitives

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Discussion Overview

The discussion revolves around the search for an online table of primitives, with participants also exploring a specific integral involving sine and a square root. The scope includes both a request for resources and mathematical reasoning related to integration techniques.

Discussion Character

  • Exploratory
  • Mathematical reasoning

Main Points Raised

  • One participant requests an online table of primitives.
  • Another participant poses a specific integral to evaluate: \(\int \frac{sinx}{\sqrt{1 + 3sin^2x}}dx\).
  • A suggestion is made to use the substitution \(u = cos(x)\) to simplify the integral.
  • One participant expresses confusion, indicating that the substitution does not resolve the square root issue.
  • Another participant defends the substitution, stating that it leads to a new integral that can be addressed using an inverse trigonometric function.
  • A later reply acknowledges the contributions of both participants while reiterating the initial request for a table of primitives.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the effectiveness of the substitution for the integral, as there is disagreement regarding its utility in resolving the square root. The discussion remains unresolved regarding the best approach to the integral.

Contextual Notes

There are limitations in the discussion, including the dependence on the substitution's effectiveness and the unresolved nature of the integral's evaluation.

quasar987
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Hi, I'm looking for an ONLINE table of primitives. Does anybody know of a good website?

Thanks
 
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Or for now, does anybody know what this integral is

[tex] \int \frac{sinx}{\sqrt{1 + 3sin^2x}}dx[/tex]

?
 
Let u = cos(x)
 
?!

That's not it. We're still stuck with the square root.
 
Last edited:
It is indeed "it".

If u = cos(x), then u^2 = cos^2(x) = 1 - sin^2(x) (etc)... The "new" integral can be handled with an inverse trigonometric function.
 
That's genius! Thanks both of you!

I'm still interested in a table of primitive though ;)
 

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