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How do you 1/(x^4+1) in partial fractions?

An expression to simplify:

The solution

You have entered [src]
  1   
------
 4    
x  + 1
$$\frac{1}{x^{4} + 1}$$
1/(x^4 + 1)
Fraction decomposition [src]
1/(1 + x^4)
$$\frac{1}{x^{4} + 1}$$
  1   
------
     4
1 + x 
Numerical answer [src]
1/(1.0 + x^4)
1/(1.0 + x^4)