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anonymous
 4 years ago
how do you integrate (lnx)^2?
anonymous
 4 years ago
how do you integrate (lnx)^2?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{?}^{?} (lnx)^{2}dx\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The answer to the integral would be x((ln(x))^22ln(x)+2) It's not a very fun integral :P

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i got that from wolfram too but i need to know how

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I think you treat it like chain rule...? Soo this integral is x(ln(x)^22ln(x)+2) and if it were the integral of ln(x)^3 it would be x(ln(x)^33ln(x)^2+6ln(x)6) and so on and so forth.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0chain rule is from differentiating..the techniques i know are u sub, by parts, trig id, partial fraction...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i know integrating lnx gives xlnxx+C

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I have no idea how to explain it then xD I just know it. This is one thing i'm just not sure on how to explain. it's just ln(x)1, ln(x)^22ln(x)+2, etc. It's just how i've known it. i guess it's never really been explained to me, its just how it is. Sorry i couldn't be of help :(

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well x*all those, but you get my point ha

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok, just like idk why lnx is xlnxx+C...fair enough

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0o wait, cuz of int by parts...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ln(x) is x*(ln(x)1) because it's the negative number of whatever the most recent ln is.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0o it was by parts the whole time...got it

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0yes, by parts u=(lnx)^2 dv=1
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