## anonymous 4 years ago can any one help me!!!!!

1. anonymous

|dw:1327218851048:dw|

2. anonymous

its calculus

3. wasiqss

is it t+1 in the bracket

4. anonymous

no its inside log

5. anonymous

Is that $\int_1^x \frac{B\cdot \log(1+t)}{1+t^2} dt$

6. anonymous

$\int\limits_{0}^{1} \frac{8\ln(1+t)}{1+t^2}$

7. anonymous

its this ^

8. anonymous

This looks like a pretty nasty integral, what class is this for? :)

9. anonymous

My first thought would be integration by parts, actually.

10. wasiqss

ok now i got it

11. anonymous

@jem: i am a high school student :P

12. anonymous

@was : can u help!!!!

13. anonymous

help

14. 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)

15. anonymous

$\pi \log(2)$

16. anonymous

~~2.17759

17. wasiqss

integral of 1/(1+t^2) is tanx

18. anonymous

arctan^

19. wasiqss

yehh jemurray typo

20. anonymous

@aron: hw did you got the ans ? can you show the steps ? @was:then?

21. wasiqss

dhash i have simplified enuf lol

22. anonymous

i got '0=0' thats why i am asking you

23. wasiqss

use integration by parts, i have told u what to integrate and what to differentiate ,

24. anonymous

i didnot get the ans in that way

25. 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.

26. 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

27. anonymous

yep jem is right

28. anonymous

Now, just plug in the limits.

29. anonymous

With respect Aron, we all know how to use wolfram alpha.

30. wasiqss

haha jem

31. wasiqss

jem bt what else cud b easier way other than by parts to teach a high scool student

32. anonymous

you're missing my point, integration by parts still requires you to solve that integral I wrote, which is kinda rough.

33. wasiqss

i know jemm im tryin to simplify it

34. anonymous

Try x = tan y

35. wasiqss

yeah got it place t =arctany then its simple

36. anonymous

cool thanks that works