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 $\dfrac 1 {x^m \paren {x^2 + a^2}^n}$