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wasiqssBest ResponseYou've already chosen the best response.0
is it t+1 in the bracket
 2 years ago

Jemurray3Best ResponseYou've already chosen the best response.3
Is that \[ \int_1^x \frac{B\cdot \log(1+t)}{1+t^2} dt \]
 2 years ago

DHASHNIBest ResponseYou've already chosen the best response.0
\[\int\limits_{0}^{1} \frac{8\ln(1+t)}{1+t^2} \]
 2 years ago

Jemurray3Best ResponseYou've already chosen the best response.3
This looks like a pretty nasty integral, what class is this for? :)
 2 years ago

Jemurray3Best ResponseYou've already chosen the best response.3
My first thought would be integration by parts, actually.
 2 years ago

DHASHNIBest ResponseYou've already chosen the best response.0
@jem: i am a high school student :P
 2 years ago

wasiqssBest ResponseYou've already chosen the best response.0
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)
 2 years ago

wasiqssBest ResponseYou've already chosen the best response.0
integral of 1/(1+t^2) is tanx
 2 years ago

DHASHNIBest ResponseYou've already chosen the best response.0
@aron: hw did you got the ans ? can you show the steps ? @was:then?
 2 years ago

wasiqssBest ResponseYou've already chosen the best response.0
dhash i have simplified enuf lol
 2 years ago

DHASHNIBest ResponseYou've already chosen the best response.0
i got '0=0' thats why i am asking you
 2 years ago

wasiqssBest ResponseYou've already chosen the best response.0
use integration by parts, i have told u what to integrate and what to differentiate ,
 2 years ago

DHASHNIBest ResponseYou've already chosen the best response.0
i didnot get the ans in that way
 2 years ago

Jemurray3Best ResponseYou've already chosen the best response.3
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.
 2 years ago

Aron_WestBest ResponseYou've already chosen the best response.0
4 i (Li_2((1/2i/2) (t+1))+Li_2((1/2+i/2) (t+1))+log(t+1) (log((1/2i/2) (t+i))log(1(1/2i/2) (t+1))))+constant
 2 years ago

Aron_WestBest ResponseYou've already chosen the best response.0
Now, just plug in the limits.
 2 years ago

Jemurray3Best ResponseYou've already chosen the best response.3
With respect Aron, we all know how to use wolfram alpha.
 2 years ago

wasiqssBest ResponseYou've already chosen the best response.0
jem bt what else cud b easier way other than by parts to teach a high scool student
 2 years ago

Jemurray3Best ResponseYou've already chosen the best response.3
you're missing my point, integration by parts still requires you to solve that integral I wrote, which is kinda rough.
 2 years ago

wasiqssBest ResponseYou've already chosen the best response.0
i know jemm im tryin to simplify it
 2 years ago

wasiqssBest ResponseYou've already chosen the best response.0
yeah got it place t =arctany then its simple
 2 years ago
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