Mooorre Integration by Substitution (1 Viewer)

Crosswinds

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Okay so third and hopefully last dumb integration question:

∫ √(x/(1-x) dx {with limits between 1/2 and 0}, letting x = cos<sup>2</sup>@

Undoubtedly I'm doing something stupid again.

Please and thanks! :)
 

Cazic

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Now,



where the choice of the positive solution in the second set of implications is consistent with the positive square root in the original integrand.

Finally,

 
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Drongoski

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I think yr 2nd line ought to be: integral 2 cos^2 @ d@
 

Crosswinds

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Yaaaay awesome that makes sense! I think i just got confused how to integrate 2cos<sup>2</sup>@. Thank you!
 

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