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duff44
 3 years ago
find the integral of 1/x sqrt(5x^2)
not sure how to do an identity with the 5 in there
duff44
 3 years ago
find the integral of 1/x sqrt(5x^2) not sure how to do an identity with the 5 in there

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tkhunny
 3 years ago
Best ResponseYou've already chosen the best response.1What would you do if it were a '1', rather than a '5'?

Goten77
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1359690189282:dw hmm let me think for a sec

duff44
 3 years ago
Best ResponseYou've already chosen the best response.0well if it was a 1 I could use a^2x^2 as the identity for sin but I dont think taking sqrt of 5 is the way to go.

tkhunny
 3 years ago
Best ResponseYou've already chosen the best response.1You didn't quite answer my question. What substitution would you actually use if it were a 1?

matricked
 3 years ago
Best ResponseYou've already chosen the best response.0assume x=sqrt(5)*sinp ...

duff44
 3 years ago
Best ResponseYou've already chosen the best response.0I would make x=sin theta sodw:1359690857236:dw

tkhunny
 3 years ago
Best ResponseYou've already chosen the best response.1Perfect. So, \(1  x^{2}\) leads to \(x = \sin(\theta)\). You already suggested that \(a^{2}  x^{2}\) leads to \(x = a\cdot\sin{\theta}\). Why would \(5  x^{2}\) lead to anything but \(x = \sqrt{5}\cdot\sin(\theta)\)?

duff44
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1359691617818:dw then just plug back in x for theta?
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