Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 14/Integrals Involving x cubed plus a cubed

Integrals Involving $x^3 + a^3$
Note that for formulas involving $x^3 - a^3$ replace $a$ by $-a$.


 * $14.299$: Primitive of $\dfrac 1 {x^3 + a^3}$


 * $14.300$: Primitive of $\dfrac x {x^3 + a^3}$


 * $14.301$: Primitive of $\dfrac {x^2} {x^3 + a^3}$


 * $14.302$: Primitive of $\dfrac 1 {x \left({x^3 + a^3}\right)}$


 * $14.303$: Primitive of $\dfrac 1 {x^2 \left({x^3 + a^3}\right)}$


 * $14.304$: Primitive of $\dfrac 1 {\left({x^3 + a^3}\right)^2}$


 * $14.305$: Primitive of $\dfrac x {\left({x^3 + a^3}\right)^2}$


 * $14.306$: Primitive of $\dfrac {x^2} {\left({x^3 + a^3}\right)^2}$


 * $14.307$: Primitive of $\dfrac 1 {x \left({x^3 + a^3}\right)^2}$


 * $14.308$: Primitive of $\dfrac 1 {x^2 \left({x^3 + a^3}\right)^2}$


 * $14.309$: Primitive of $\dfrac {x^m} {x^3 + a^3}$


 * $14.310$: Primitive of $\dfrac 1 {x^n \left({x^3 + a^3}\right)}$