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in terms of a and c and x ?

@mahmit2012 method with derivatives

what's wrong with ordinary method of finding partial differential?

@mahmit2012 had a snap method, but i don't understand it

just a question:
do wolfram has solution?

they have something ugly...

http://www.wolframalpha.com/input/?i=integrate+%285x%5E2%2B20x%2B6%29+%2F+%28x%5E3%2B2x%5E2%2Bx%29

oh the original question was an integral, btw.

something to do with a derivative but i don't see it

what's your method for B

is there link to where it was done in snappier way?

but is sure is snapp!

I think we can solve this making three equations....

i meant did you have your own way, satellite?

a slower... sane approach

i plugged in A and C.. expanded it all out... plugged in 1 for x and got B=-3

ooooooooooooooh!!!!
multiply both sides by \((x+1)^2\)!!!!!

but that's not right i guess

wowee zowee

how cool is that? i love it

@alienbrain yes i wrote my method before
solved \(6+B=5\) but it required some visualization

|dw:1344137128472:dw|

it is already solved, i was trying to understand @mahmit2012 approach

|dw:1344137486006:dw|

@mahmit2012 my less sophisticated method was to visualize the coefficient of \(x^2\) as \(6+B\)

@satellite73 are u sure your answer is correct.... because I got
a=15
b=-10
and c=1

yeah i am sure

|dw:1344137568037:dw|

yes i see thanks
i didn't understand that you multiplied on both sides

|dw:1344137675922:dw|

i think i would not want to use this method if i had to take the derivative repeatedly

this is the shortest method to get cofficiant in partial fraction problem >

back, open study lagged me out

so 5=6 + B are you just combining like terms there

good thing you can't throw a math book at me:)

ok lets go back back back

we know \(A=6\)

first term on the left is \(A(x+1)^2=6(x+1)^2\) and we also have a term that looks like \(Bx(x+1)\)

on the other hand we know we have to end up with \(5x^2\)
that tells you \(6+B=5\) and so \(B=-1\)

ok, i got it... but the method seems to vary for each letter

i was hoping to avoid critical thinking and just be able to do it by a process :)

if you have no repeated factors, the it always works

well, if they are linear

ya

eh.. integral of 6/x ?

oh nm