Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 14/Integrals Involving Root of a x squared plus b x plus c
Jump to navigation
Jump to search
Integrals Involving $\sqrt{a x^2 + b x + c}$
In the following results if $b^2 = 4 a c$, $\sqrt{a x^2 + b x + c} = \sqrt a \left({x + b / 2 a}\right)$ and the results from Integrals Involving $a x + b$ can be used. If $b = 0$ use results from Integrals Involving $\sqrt {x^2 + a^2}$, Integrals Involving $\sqrt {x^2 - a^2}$, $x^2 > a^2$ and Integrals Involving $\sqrt {a^2 - x^2}$, $a^2 > x^2$. If $a$ or $c = 0$ use results from Integrals Involving $\sqrt{a x + b}$.