What is the antiderivative of:

Question

(x - x^3) / (x^4 +1)?
I know that somehow I will need to factor out 1/(x^2 + 1), or the derivative of arctan, but I'm not quite sure how to do this. Any help is appreciated, thank you.

Answer 1

Go on: wolframalpha dot com

When page be open in rectangle type:

partial fractions (x - x^3) / (x^4 +1)

and click option =

After few seconds when you see result click option:

Show steps

Then type:

integrate (x - x^3) / (x^4 +1)

After few seconds when you see result click option:

Show steps