Question

Please help integrals

Answer 1

\[\int\limits (1-x+2x^2-x^3)/(x(x^2+1)^2)\]

Answer 2

dx at the end

Answer 3

I know i'm supposed to partial fraction decomposition but I get stuck while doing that.

Answer 4

I know i'm supposed to *use*partial fraction decomposition but I get stuck while doing that.

Answer 5

Show me your steps or where you get stuck. I'll help you along the way.

Answer 6

Alright thanks, give me sec to type

Answer 7

\[-x^3+2x^2-x+1=A(x^2+1)^2+Bx(x^2+1)+Cx\]
\[=Ax^4+A2x^2+A+Bx^3+Bx+CX\]
then...
-x^3=Bx^3 2x^2=A2x^2 -x=Bx+Cx A=1

so my question is what would i make the Ax^4 equal to...0?

Answer 8

You left....

Answer 9

so any ideas? Do you understand my question, sometimes I can be difficult to understand.

Answer 10

Sorry something came up, but you have done it wrong in that you've skipped some steps in getting to this formula. I have to go, sorry. But this should help at least

http://www.wolframalpha.com/input/?i=partial+fractions+%281-x%2B2x%5E2-x%5E3%29%2F%28x%28x%5E2%2B1%29%5E2%29

Answer 11

alright thanks

Answer 12

I think you should be starting with
\[ \frac{A}{x} + \frac{Bx+C}{x^2+1} + \frac{Dx+E}{(x^2+1)^2} \]

Answer 13

hhmm. I set it up a different way, but obviously i'm wrong. I'll trying redoin it your way, and see if Rabya! has anything to add.

Answer 14

thanks phi