Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 14/Integrals Involving Root of a x + b

Integrals Involving $\sqrt{a x + b}$

 * $14.84$: Primitive of $\dfrac 1 {\sqrt{a x + b}}$


 * $14.85$: Primitive of $\dfrac x {\sqrt{a x + b}}$


 * $14.86$: Primitive of $\dfrac {x^2} {\sqrt{a x + b}}$


 * $14.87$: Primitive of $\dfrac 1 {x \sqrt{a x + b}}$


 * $14.88$: Primitive of $\dfrac 1 {x^2 \sqrt{a x + b}}$


 * $14.89$: Primitive of $\sqrt{a x + b}$


 * $14.90$: Primitive of $x \sqrt{a x + b}$


 * $14.91$: Primitive of $x^2 \sqrt{a x + b}$


 * $14.92$: Primitive of $\dfrac {\sqrt{a x + b}} x$


 * $14.93$: Primitive of $\dfrac {\sqrt{a x + b}} {x^2}$


 * $14.94$: Primitive of $\dfrac {x^m} {\sqrt{a x + b}}$


 * $14.95$: Primitive of $\dfrac 1 {x^m \sqrt{a x + b}}$


 * $14.96$: Primitive of $x^m \sqrt{a x + b}$


 * $14.97-98$: Primitive of $\dfrac {\sqrt{a x + b}} {x^m}$


 * Two formulations are given:


 * $14.97$: Formulation 1


 * $14.98$: Formulation 2


 * $14.99$: Primitive of $\left({a x + b}\right)^{\dfrac m 2}$


 * $14.100$: Primitive of $x \left({a x + b}\right)^{\dfrac m 2}$


 * $14.101$: Primitive of $x^2 \left({a x + b}\right)^{\dfrac m 2}$


 * $14.102$: Primitive of $\dfrac {\left({a x + b}\right)^{\dfrac m 2}} x$


 * $14.103$: Primitive of $\dfrac {\left({a x + b}\right)^{\dfrac m 2}} {x^2}$


 * $14.104$: Primitive of $\dfrac 1 {x \left({a x + b}\right)^{\dfrac m 2}}$