Hi there can anyone help me integrate the following

(x^2+1)/(x^4+1)

I've been trying unsuccessfully :(

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- April 28th 2011, 09:48 PMuserodIntegration
Hi there can anyone help me integrate the following

(x^2+1)/(x^4+1)

I've been trying unsuccessfully :( - April 28th 2011, 09:54 PMpickslides
What have you tried?

Maybe break it up using partial fractions? - April 28th 2011, 10:13 PMTheCoffeeMachine
. Let t = x-1/x, then:

which hopefully is an integral that you are familiar with! :) - April 28th 2011, 10:14 PMuserod
Ya that's what I've been trying I've factored as follows

(x^2+(2^1/2)x+1)(x^2-(2^1/2)x+1)

I'm having trouble solving the partial fractions though. Any ideas? - April 28th 2011, 10:33 PMProve It
x^4 + 1 doesn't factorise... You should follow TheCoffeeMachine's method.

- April 28th 2011, 10:46 PMuserod
Great thanks ya I know that one inverse tan over root 2 all over root 2 right??!!! Thanks again guys really helpful site!

- April 28th 2011, 10:59 PMTheCoffeeMachine
- April 29th 2011, 03:39 AMmr fantastic