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

Integrals Involving $x^4 \pm a^4$

$14.311$: Primitive of $\dfrac 1 {x^4 + a^4}$

$14.312$: Primitive of $\dfrac x {x^4 + a^4}$

$14.313$: Primitive of $\dfrac {x^2} {x^4 + a^4}$

$14.314$: Primitive of $\dfrac {x^3} {x^4 + a^4}$

$14.315$: Primitive of $\dfrac 1 {x \left({x^4 + a^4}\right)}$

$14.316$: Primitive of $\dfrac 1 {x^2 \left({x^4 + a^4}\right)}$

$14.317$: Primitive of $\dfrac 1 {x^3 \left({x^4 + a^4}\right)}$

$14.318$: Primitive of $\dfrac 1 {x^4 - a^4}$

$14.319$: Primitive of $\dfrac x {x^4 - a^4}$

$14.320$: Primitive of $\dfrac {x^2} {x^4 - a^4}$

$14.321$: Primitive of $\dfrac {x^3} {x^4 - a^4}$

$14.322$: Primitive of $\dfrac 1 {x \left({x^4 - a^4}\right)}$

$14.323$: Primitive of $\dfrac 1 {x^2 \left({x^4 - a^4}\right)}$

$14.324$: Primitive of $\dfrac 1 {x^3 \left({x^4 - a^4}\right)}$