anonymous
  • anonymous
can any one help me!!!!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1327218851048:dw|
anonymous
  • anonymous
its calculus
wasiqss
  • wasiqss
is it t+1 in the bracket

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anonymous
  • anonymous
no its inside log
anonymous
  • anonymous
Is that \[ \int_1^x \frac{B\cdot \log(1+t)}{1+t^2} dt \]
anonymous
  • anonymous
\[\int\limits_{0}^{1} \frac{8\ln(1+t)}{1+t^2} \]
anonymous
  • anonymous
its this ^
anonymous
  • anonymous
This looks like a pretty nasty integral, what class is this for? :)
anonymous
  • anonymous
My first thought would be integration by parts, actually.
wasiqss
  • wasiqss
ok now i got it
anonymous
  • anonymous
@jem: i am a high school student :P
anonymous
  • anonymous
@was : can u help!!!!
anonymous
  • anonymous
help
wasiqss
  • wasiqss
ok i wud go in this way by integration by parts take 8 out now u left with (\[8\int\limits_{x}^{1}(\ln(1+t)/(1+t^2)\] now take 1/(1+t^2) as part to integrate , and derivative ln (1+t)
anonymous
  • anonymous
\[\pi \log(2)\]
anonymous
  • anonymous
~~2.17759
wasiqss
  • wasiqss
integral of 1/(1+t^2) is tanx
anonymous
  • anonymous
arctan^
wasiqss
  • wasiqss
yehh jemurray typo
anonymous
  • anonymous
@aron: hw did you got the ans ? can you show the steps ? @was:then?
wasiqss
  • wasiqss
dhash i have simplified enuf lol
anonymous
  • anonymous
i got '0=0' thats why i am asking you
wasiqss
  • wasiqss
use integration by parts, i have told u what to integrate and what to differentiate ,
anonymous
  • anonymous
i didnot get the ans in that way
anonymous
  • anonymous
You've neglected to mention the integral \[ \int_0^1 \frac{\tan^{-1}(x)}{1+x} dx \] which is pretty damn complicated, I would say.
anonymous
  • anonymous
4 i (-Li_2((1/2-i/2) (t+1))+Li_2((1/2+i/2) (t+1))+log(t+1) (log((-1/2-i/2) (t+i))-log(1-(1/2-i/2) (t+1))))+constant
anonymous
  • anonymous
yep jem is right
anonymous
  • anonymous
Now, just plug in the limits.
anonymous
  • anonymous
With respect Aron, we all know how to use wolfram alpha.
wasiqss
  • wasiqss
haha jem
wasiqss
  • wasiqss
jem bt what else cud b easier way other than by parts to teach a high scool student
anonymous
  • anonymous
you're missing my point, integration by parts still requires you to solve that integral I wrote, which is kinda rough.
wasiqss
  • wasiqss
i know jemm im tryin to simplify it
anonymous
  • anonymous
Try x = tan y
wasiqss
  • wasiqss
yeah got it place t =arctany then its simple
anonymous
  • anonymous
cool thanks that works

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