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AmTran_Bus
 one year ago
Can someone check this integration?
AmTran_Bus
 one year ago
Can someone check this integration?

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What have you tried? By parts?

AmTran_Bus
 one year ago
Best ResponseYou've already chosen the best response.0Sorry, just got back to this page. Let me show you.

AmTran_Bus
 one year ago
Best ResponseYou've already chosen the best response.0So if you say dw:1434570936513:dw

AmTran_Bus
 one year ago
Best ResponseYou've already chosen the best response.0Then can't you do a sub?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it looks like you set \(u=\ln x\) and \(dv=\dfrac{x}{\sqrt{x^21}}\,dx\). A trig substitution might work. Try \(x=\sec u\).

AmTran_Bus
 one year ago
Best ResponseYou've already chosen the best response.0That givedw:1434571156177:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Let's see... \[\int\frac{\sqrt{x^21}}{x}\,dx=\int\frac{\sqrt{\sec^2u1}}{\sec u}\sec u\tan u\,du=\int \tan^2u\,du\] Now a trig identity will work well here: \[\tan^2u=\sec^2u1\] and you know the antiderivative of \(\sec^2u\).

AmTran_Bus
 one year ago
Best ResponseYou've already chosen the best response.0Yes, so does that not give

AmTran_Bus
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434571377468:dw

AmTran_Bus
 one year ago
Best ResponseYou've already chosen the best response.0Moving on then, I end up at the end getting something different :(dw:1434571498405:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(\ln x(x1)\) should be \((\ln x1)\).

AmTran_Bus
 one year ago
Best ResponseYou've already chosen the best response.0Whoops! Ok. But does that match any of those possible answers, or have we made a mistake?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Other than that, your solution is right. I suspect a typo in the answer choices.

AmTran_Bus
 one year ago
Best ResponseYou've already chosen the best response.0Thanks. I wonder if any are equivalent?

AmTran_Bus
 one year ago
Best ResponseYou've already chosen the best response.0Because I have not ever had a problem where they have made a mistake before.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You can differentiate the answer choices to check. The second one can be eliminated right away since it doesn't generate any log terms.

AmTran_Bus
 one year ago
Best ResponseYou've already chosen the best response.0Ok. Thanks so much!
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