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

Integrals Involving $x^2 + a^2$

$14.125$: Primitive of $\dfrac 1 {x^2 + a^2}$

$14.126$: Primitive of $\dfrac x {x^2 + a^2}$

$14.127$: Primitive of $\dfrac {x^2} {x^2 + a^2}$

$14.128$: Primitive of $\dfrac {x^3} {x^2 + a^2}$

$14.129$: Primitive of $\dfrac 1 {x \paren {x^2 + a^2} }$

$14.130$: Primitive of $\dfrac 1 {x^2 \paren {x^2 + a^2} }$

$14.131$: Primitive of $\dfrac 1 {x^3 \paren {x^2 + a^2}}$

$14.132$: Primitive of $\dfrac 1 {\paren {x^2 + a^2}^2}$

$14.133$: Primitive of $\dfrac x {\paren {x^2 + a^2}^2}$

$14.134$: Primitive of $\dfrac {x^2} {\paren {x^2 + a^2}^2}$

$14.135$: Primitive of $\dfrac {x^3} {\paren {x^2 + a^2}^2}$

$14.136$: Primitive of $\dfrac 1 {x \paren {x^2 + a^2}^2}$

$14.137$: Primitive of $\dfrac 1 {x^2 \paren {x^2 + a^2}^2}$

$14.138$: Primitive of $\dfrac 1 {x^3 \paren {x^2 + a^2}^2}$

$14.140$: Primitive of $\dfrac 1 {\paren {x^2 + a^2}^n}$

$14.141$: Primitive of $\dfrac 1 {x \paren {x^2 + a^2}^n}$

$14.142$: Primitive of $\dfrac {x^m} {\paren {x^2 + a^2}^n}$

$14.143$: Primitive of $\dfrac 1 {x^m \paren {x^2 + a^2}^n}$