anonymous
  • anonymous
Getting slightly wrong answer trying to integrate y*sqrt(y-2) by parts
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
\[\int y\sqrt{y-2}dy\]?
anonymous
  • anonymous
Yes. WolframAlpha gives me: http://www.wolframalpha.com/input/?i=integrate+y*sqrt%7By-2%7D which is not my answer. Can't figure out what I'm doing wrong.

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anonymous
  • anonymous
first off i would not integrate by parts unless you are told you have to
anonymous
  • anonymous
Good point.
zepdrix
  • zepdrix
There's a nice simple u-substitution for this one :) Not seeing it?
zepdrix
  • zepdrix
It a neat little trick that maybe you haven't considered.\[\large\rm \color{orange}{u=y-2}\qquad\to\qquad \color{red}{u+2=y}\]\[\large\rm \color{blue}{du=dy}\] \[\large\rm \int\limits \color{red}{y}\sqrt{\color{orange}{y-2}}~\color{blue}{dy}=?\]Do you see how that will help here? :o
anonymous
  • anonymous
Thanks so much for the help, but I already solved it with u-substitution and am just utterly stumped as to why I can't get the right answer with integration by parts. Should I just give up on that? :)
zepdrix
  • zepdrix
Oh :o checking
zepdrix
  • zepdrix
ok i think i see a boo boo...
zepdrix
  • zepdrix
|dw:1442370147408:dw|Missing a 2 here :o
zepdrix
  • zepdrix
Did that maybe throw things off a bit?
anonymous
  • anonymous
AH! That was it. Thank you very much!

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