Show that

${\displaystyle \underset{0}{\overset{}{}}}\frac{x^{2}dx}{(x^2+a^2)(x^2+b^2)(x^2+c^2)}=\frac{}{2(a+b)(b+c)(c+a)}$

Prove that

${\displaystyle \underset{-}{\overset{\text{b}\text{a}\text{t}}{}}}\frac{dx}{(x^2+ax+a^2)(x^2+bx+b^2)}=\frac{2(a+b)}{\sqrt[\phantom{2}]{3}ab(a^2+ab+b^2)}$