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anonymous
 one year ago
evaluate the integral
integral of (ln(4x))^2dx
anonymous
 one year ago
evaluate the integral integral of (ln(4x))^2dx

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im assuming this is integration by parts. but i am not sure what to make my u and what to make dv

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would ln(4x) be good for u? and i would use chain rule to find derivative?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[\int\limits (\ln(4x))^2 dx\] is it like this?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2You can just let u = (ln(4x))^2 and dv = 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hey astrophysics can you please help me I posted a question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok! where do you get the 1 from?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0pls help i need to get rest

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2We can think of there being a 1 when we have such functions dv=dx, it's like if you have to integrate tanx dx you would use by parts, lets u = tanx, and dv = dx

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2I guess it would've been better if I said dv = 1*dx

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohh yes i see! thank you

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Not tanx I meant arctanx haha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmm im not getting the right answer.. is it correct to say that the integral of ln4 is = to xln4 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[(\ln(4x))^{2}x\int\limits x \frac{ 2\ln4 }{ x } dx\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so then i cancel out the x on the outside and the x in the denominator..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and i am left with the integral of 2ln4, so then i take out the 2 and put it behind the integral, and i am left with the integral of ln4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0from there i took the integral of ln4 which i believe is xln4 and i put both parts together but the answer is incorrect

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[(\ln(4x))^2x2xln4\] that is my answer..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but the answer says incorrect..

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.2the answer is \[x(\ln (4x))^22xln (4x)+2x\] recheck once again :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You're almost there.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you.. i am not seeing where the 2x at the end comes from.. ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that is my work so far

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.2u=4x \[\int\limits\frac{ (\ln (u)) }{ 4}du \]after some vry bad calculations nd simplifications u get \[\frac{ 1 }{ 4 }((u)(\ln (u))^2 2\ln (u)+2(u))\]and then when u simplify nd put u=4x then u get that answer..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok i see, thank you!

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.2no prblm but that is a long method..
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