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 $\dfrac 1 {x^n \left({x^3 + a^3}\right)}$