Question

Partial fraction question.

Answer 1

I have one here that's a cx+d. In my book it says to find c and d I should find 2 x values.

I then got A-B = -1/2
2A + 2B = 3

Answer 2

in my book it says to subtract the first from the second so I get 2A - A = A + (2B+B) = 3B = 3--1/2 = 7/2

A+B = 7/2?

Answer 3

The actual question is:

Answer 4

\[\int\limits \frac {x^2 + 2x}{(x-1)(x^2+1)}\]

Answer 5

ummm idk about your book but there shouldn't be a D :/

Answer 6

\[\int\limits \frac{x^2}{(x-1)} + \int\limits \frac{2x}{(x^2+1)} \]

Answer 7

MY book shows D and E, it's just dependent on the exponent values.. When there was x^5 it was A + B + C + Dx + E

Answer 8

but yes for this question what you did is what I have thus far.

Answer 9

I then got it down to \[x^2 + 2x = A(x^2+1) + (Bx+C)(x^2+1)\]

Answer 10

Oh wait I messed up, let me try to fix it.. grr....

Answer 11

what i did so far ... :/

Answer 12

how'd you get that?

Answer 13

doing partial fractions

Answer 14

http://www.wolframalpha.com/input/?i=%E2%88%AB%28x%5E2%2B2x%29%2F%28%28x%E2%88%921%29%28x2%2B1%29%29

Answer 15

it seems like my book keeps them together, but shouldn't I fil out (Bx+C)(x^2+1)?

Answer 16

i re inputted it back into the equation

Answer 17

can you show the steps?

Answer 18

w8 steps for the entire integral or just the partial fraction?

Answer 19

because i can't really help you w/ the integral cuz i'm pretty terrible with them :/

Answer 20

the partial fraction plz.

Answer 21

at first It hought x = 0 to start it off, but I messed up and that doesnt' work...

Answer 22

mhm

Answer 23

hmm i thought there wasnt a square in the problem?

Answer 24

oh wait crap I really messed up LOL let me solve this now...

Answer 25

?

Answer 26

II did (Bx + C) (x^2+1) instead of (x-1)...
LOL

Answer 27

if there was a square then the partial fraction would be wrong..

Answer 28

oh w8 I MADE A MISTAKE :0

Answer 29

Iggy I blame you.

Answer 30

okay :( i'll show myself oout :C

Answer 31

w8 no i didnt.....

Answer 32

well @KonradZuse did you get it?

Answer 33

I'm goign to try it again on my own, I understood how to do it and all, but I accidentally messed up(As i said above) so I'm going to try it again because I think it's going to be much easier now.

Answer 34

Okay I think I messed up haha lets step by step this?

Answer 35

It'sd probably because my canvas of choice was ridiculously small boo...

Answer 36

nvm found an error.