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DHASHNI

  • 4 years ago

can any one help me!!!!!

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  1. DHASHNI
    • 4 years ago
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    |dw:1327218851048:dw|

  2. DHASHNI
    • 4 years ago
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    its calculus

  3. wasiqss
    • 4 years ago
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    is it t+1 in the bracket

  4. DHASHNI
    • 4 years ago
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    no its inside log

  5. Jemurray3
    • 4 years ago
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    Is that \[ \int_1^x \frac{B\cdot \log(1+t)}{1+t^2} dt \]

  6. DHASHNI
    • 4 years ago
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    \[\int\limits_{0}^{1} \frac{8\ln(1+t)}{1+t^2} \]

  7. DHASHNI
    • 4 years ago
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    its this ^

  8. Jemurray3
    • 4 years ago
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    This looks like a pretty nasty integral, what class is this for? :)

  9. Jemurray3
    • 4 years ago
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    My first thought would be integration by parts, actually.

  10. wasiqss
    • 4 years ago
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    ok now i got it

  11. DHASHNI
    • 4 years ago
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    @jem: i am a high school student :P

  12. DHASHNI
    • 4 years ago
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    @was : can u help!!!!

  13. DHASHNI
    • 4 years ago
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    help

  14. wasiqss
    • 4 years ago
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    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. Aron_West
    • 4 years ago
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    \[\pi \log(2)\]

  16. Aron_West
    • 4 years ago
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    ~~2.17759

  17. wasiqss
    • 4 years ago
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    integral of 1/(1+t^2) is tanx

  18. Jemurray3
    • 4 years ago
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    arctan^

  19. wasiqss
    • 4 years ago
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    yehh jemurray typo

  20. DHASHNI
    • 4 years ago
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    @aron: hw did you got the ans ? can you show the steps ? @was:then?

  21. wasiqss
    • 4 years ago
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    dhash i have simplified enuf lol

  22. DHASHNI
    • 4 years ago
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    i got '0=0' thats why i am asking you

  23. wasiqss
    • 4 years ago
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    use integration by parts, i have told u what to integrate and what to differentiate ,

  24. DHASHNI
    • 4 years ago
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    i didnot get the ans in that way

  25. Jemurray3
    • 4 years ago
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    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. Aron_West
    • 4 years ago
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    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. DHASHNI
    • 4 years ago
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    yep jem is right

  28. Aron_West
    • 4 years ago
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    Now, just plug in the limits.

  29. Jemurray3
    • 4 years ago
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    With respect Aron, we all know how to use wolfram alpha.

  30. wasiqss
    • 4 years ago
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    haha jem

  31. wasiqss
    • 4 years ago
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    jem bt what else cud b easier way other than by parts to teach a high scool student

  32. Jemurray3
    • 4 years ago
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    you're missing my point, integration by parts still requires you to solve that integral I wrote, which is kinda rough.

  33. wasiqss
    • 4 years ago
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    i know jemm im tryin to simplify it

  34. Aron_West
    • 4 years ago
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    Try x = tan y

  35. wasiqss
    • 4 years ago
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    yeah got it place t =arctany then its simple

  36. DHASHNI
    • 4 years ago
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    cool thanks that works

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