how do i solve this ):

AndyNagato - Lost City
AndyNagato - Lost City Posts: 185 Arc User
edited January 2010 in Off-Topic Discussion
http://img.photobucket.com/albums/v300/_hinata/MATH.jpg
how do i do this using partial fractions?

im looking for a step by step instruction on how to solve this, please help :c
Post edited by AndyNagato - Lost City on

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  • RedsRose - Lost City
    RedsRose - Lost City Posts: 12,354 Arc User
    edited January 2010
    Google. Zzzzzzzzzz
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  • AndyNagato - Lost City
    AndyNagato - Lost City Posts: 185 Arc User
    edited January 2010
    RedsRose - Lost City wrote: »
    Google. Zzzzzzzzzz
    google cant help with this specific concept if i do not know how to apply it.
  • Tsukuyomi - Raging Tide
    Tsukuyomi - Raging Tide Posts: 1,065 Arc User
    edited January 2010
    i did not learn integrals yet. if you want, i hope by July i'll be able to help you.
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  • eatwithspoons
    eatwithspoons Posts: 54 Arc User
    edited January 2010
    I would recommend reading the textbook that tends to go along with math classes b:victory
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  • Aadi - Lost City
    Aadi - Lost City Posts: 4,449 Arc User
    edited January 2010
    I'm studying integrals now but haven't gotten to partial fraction ones.
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  • AndyNagato - Lost City
    AndyNagato - Lost City Posts: 185 Arc User
    edited January 2010
    eatwithspoons wrote: »
    I would recommend reading the textbook that tends to go along with math classes b:victory
    sadly our book is out of print, we dont entirely have enough at the school to go around, i have to wait really close to the due date to get my hands on one :[
  • eatwithspoons
    eatwithspoons Posts: 54 Arc User
    edited January 2010
    AndyNagato - Lost City wrote: »
    sadly our book is out of print, we dont entirely have enough at the school to go around, i have to wait really close to the due date to get my hands on one :[

    Wow that sucks!
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  • Aadi - Lost City
    Aadi - Lost City Posts: 4,449 Arc User
    edited January 2010
    Well start by rearranging the top and factoring by grouping:

    10pdkbk.jpg

    Can you figure it out from there? I got to that from googling how to do it...b:chuckle

    Edit: Don't mind my "handwriting", was writing on OneNote with a touchpad. Too lazy to get pen and paper.
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  • AndyNagato - Lost City
    AndyNagato - Lost City Posts: 185 Arc User
    edited January 2010
    yes, thank you.
  • AndyNagato - Lost City
    AndyNagato - Lost City Posts: 185 Arc User
    edited January 2010
    got another one:

    http://img.photobucket.com/albums/v300/_hinata/math2.jpg

    k this one, I substituted tan( t) for x, and sec^2( t)dt for dx

    when I do integration by parts I get stuck in this infinite loop if integrationbypartsing and can't clear the integral sign thing out of the equation so idk what to do there or even if I did it right up to that point
    the starting problem is in top left
    o and it should be dx=sec^2(theta)d(theta)
    forgot the d part
  • BeingHope - Harshlands
    BeingHope - Harshlands Posts: 5,013 Arc User
    edited January 2010
    omg that looks similar to my math!

    are you in algebra I???? thats what i'm in but i'm failing it atm b:chuckle
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  • AndyNagato - Lost City
    AndyNagato - Lost City Posts: 185 Arc User
    edited January 2010
    BeingHope - Harshlands wrote: »
    omg that looks similar to my math!

    are you in algebra I???? thats what i'm in but i'm failing it atm b:chuckle
    um, that is calculus lol, not alg 1 !___!
  • LloydAsplund - Sanctuary
    LloydAsplund - Sanctuary Posts: 3,899 Arc User
    edited January 2010
    Hey, that has those x's and y's. Is that an English course?

    My calculus course doesnt start until 2 weeks. Doing a course called Higher/Advanced functions atm (course code: MHF4U). Dont know if such a course exists in America. The name scheme is different too.
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  • Aadi - Lost City
    Aadi - Lost City Posts: 4,449 Arc User
    edited January 2010
    That 1 + x^2 is nagging me, it looks SO much like a trig identity but not quite...I think however you do it, you have to turn it into a trig identity somehow. b:surrender Not quite sure how though.
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  • Avryll - Sanctuary
    Avryll - Sanctuary Posts: 60 Arc User
    edited January 2010
    as is shown in the work:
    tan was substituted for x, then the trig identity 1 + tan^2(x) = sec^2(x) was used
  • AndyNagato - Lost City
    AndyNagato - Lost City Posts: 185 Arc User
    edited January 2010
    it already is a trig identity :o, just not sure where to go
  • Aadi - Lost City
    Aadi - Lost City Posts: 4,449 Arc User
    edited January 2010
    That wasn't what I meant, I used bad terminology. Probably because I'm not quite to this area of integration in my class, but it reminded me of an inverse trigonemetric function.

    Maybe not b:surrender I'm working almost entirely off of google here rofl.
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  • Avryll - Sanctuary
    Avryll - Sanctuary Posts: 60 Arc User
    edited January 2010
    (this is my homework we're all doing here lol)
    the 1 + x^2 became just the secant, and then cancelled completely with the sec^2(t)dt that was substituted for dx, leaving the integral tan^3(t)sec(t)dt
    I then used integration by parts, giving me:
    sec(t)tan^2(t)-2(the integral: tan(t)sec^3(t)dt)
    however, when try to use integration by parts on the remaining integral, I just keep getting the same thing, alternating endlessly between integrals tan^3(t)sec(t)dt and tan(t)sec^3(t)dt, so I don't know how to proceed. I donno if I did something wrong in earlier steps or if I should be doing something at this point that I don't know I should be doing
  • Avryll - Sanctuary
    Avryll - Sanctuary Posts: 60 Arc User
    edited January 2010
    I'm also stuck on http://img.photobucket.com/albums/v300/_hinata/math4.jpg and http://img.photobucket.com/albums/v300/_hinata/math3.jpg if anyone has any ideas about either of those ;_;
  • Aadi - Lost City
    Aadi - Lost City Posts: 4,449 Arc User
    edited January 2010
    I have to read the entirety of A Tale of Two Cities by tomorrow morning, so I can't keep looking up things to help sorry XD But I did find this and I thought it was interesting.

    http://integrals.wolfram.com/index.jsp
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  • Avryll - Sanctuary
    Avryll - Sanctuary Posts: 60 Arc User
    edited January 2010
    ooh thats cool o:
    and thanks very much for the help with the first one! I never would've gotten that haha
  • Aadi - Lost City
    Aadi - Lost City Posts: 4,449 Arc User
    edited January 2010
    I remembered how to solve one of these on the bus this morning...b:sad
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