Formula:7344

Digital Library of Mathematical Functions ID 19.29.E20

${\displaystyle{\displaystyle\int_{y}^{x}\frac{t^{2}\mathrm{d}t}{\sqrt{Q_{1}(t)Q_{2}(t)}}=\tfrac{1}{3}a_{1}a_{2}R_{D}\left(U^{2}+a_{1}b_{2},U^{2}+a_{2}b_{1},U^{2}\right)+(xy/U),}}$

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
• ${\displaystyle{\displaystyle U}}$: U
• ${\displaystyle{\displaystyle Q(t^{2})}}$: Q ( t 2 )
 

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