Question

Find the indefinite integral of x/(x^4+2x^2+2) dx

Answer 1

\[\int \dfrac{x}{x^4+2x^2+2} dx\]
Let u = √x ... ↔ ... u² = x.
2u du = dx
\[\int \dfrac{u^2}{u^2+2u+2} (2u\; du)\\
2\int \dfrac{u^3}{u^2+2u+2} du\]
Does that seem more doable?