Formula:7331

Digital Library of Mathematical Functions ID 19.29.E10

${\displaystyle{\displaystyle\int_{u}^{b}\sqrt{\frac{a-t}{(b-t)(t-c)^{3}}}\mathrm{d}t=-\tfrac{2}{3}{(a-b)}{(b-u)}^{3/2}R_{D}+\frac{2}{b-c}\sqrt{\frac{(a-u)(b-u)}{u-c}},}}$

Constraint(s)

${\displaystyle{\displaystyle a>b>u>c}}$

Symbols List

• ${\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: elliptic integral symmetric in only two variables
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
 

Resources that cite this formula

No records found.