Question

how do I integrate ((x^2)-(2/(1+x^4))dx

Answer 1

integral ( x^2 dx)- 2 integral ( dx/(1+x^4))

for starters x^3/3 - 2 integral ( dx/(1+x^4))
now for that second half an awesome mess, see:
https://www.youtube.com/watch?v=GZFQNsy3p1U
and multiply it by - 2 of course