Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 14/Integrals Involving x to the Nth plus or minus a to the Nth

Integrals Involving $x^n \pm a^n$

$14.325$: Primitive of $\dfrac 1 {x \left({x^n + a^n}\right)}$

$14.326$: Primitive of $\dfrac {x^{n - 1}} {x \left({x^n + a^n}\right)}$

$14.327$: Primitive of $\dfrac {x^m} {\left({x^n + a^n}\right)^r}$

$14.328$: Primitive of $\dfrac 1 {x^m \left({x^n + a^n}\right)^r}$

$14.329$: Primitive of $\dfrac 1 {x \sqrt{x^n + a^n}}$

$14.330$: Primitive of $\dfrac 1 {x \left({x^n - a^n}\right)}$

$14.331$: Primitive of $\dfrac {x^{n - 1}} {x \left({x^n - a^n}\right)}$

$14.332$: Primitive of $\dfrac {x^m} {\left({x^n - a^n}\right)^r}$

$14.333$: Primitive of $\dfrac 1 {x^m \left({x^n - a^n}\right)^r}$

$14.334$: Primitive of $\dfrac 1 {x \sqrt{x^n - a^n}}$

$14.335$: Primitive of $\dfrac {x^{p - 1}} {x^{2 m} + a^{2 m}}$

$14.336$: Primitive of $\dfrac {x^{p - 1}} {x^{2 m} - a^{2 m}}$

$14.337$: Primitive of $\dfrac {x^{p - 1}} {x^{2 m + 1} + a^{2 m + 1}}$

$14.338$: Primitive of $\dfrac {x^{p - 1}} {x^{2 m + 1} - a^{2 m + 1}}$