Integration of (x)/[(4-x^2)^0.5]

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SUMMARY

The integral of (x)/[(4-x^2)^0.5] can be solved using a simple u-substitution method. The discussion highlights that while the integral resembles standard forms found in integral tables, the specific form requires a tailored approach. The suggested substitution simplifies the integration process effectively, confirming that it is not merely a direct application of standard integrals.

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Homework Statement


integrate

(x)/[(4-x^2)^0.5]



Homework Equations





The Attempt at a Solution



which method would be used to integrate this, or is it just a standard integral from a regular standard integral table, so can be integrated directly? The book seems to indicate it is a standard integral, but I can't seem to locate it.

I can see a similar standard integral which is

(1)/[a^2 - x^2]^0.5

though this is 1 over, and the question is x over.


Thank you
 
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A simple u-substitution would work quite well here.
 

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