Primitive of Power of Root of a x + b/Also presented as

Primitive of Power of $\sqrt {a x + b}$: Also presented as

This result is also seen presented in the form:

$\ds \int \paren {\sqrt {a x + b} }^n \rd x = \frac 2 a \frac {\paren {\sqrt {a x + b} }^{n + 2} } {n + 2} + C$

Sources

• 1968: George B. Thomas, Jr.: Calculus and Analytic Geometry (4th ed.) ... (previous) ... (next): Front endpapers: A Brief Table of Integrals: $11$.