[tex] \int\limits^a_b { \frac{1}{x(x^3+1)} } \, dx [/tex] eu am incercat scriind [tex]x^3+1=x^3+1^3=(x+1)(x^2-x+1) [/tex], dar am ajuns tot la forma integralei initiale calculand( [tex] \frac{A}{X}+ \frac{B}{X+1}+ \frac{CX+D}{X^2-X+1} [/tex])