DLMF:19.29.E21 (Q6649)

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Language	Label	Description	Also known as
English	DLMF:19.29.E21	No description defined

Statements

Defining formula

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

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DLMF:19.29.E21

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elliptic integral symmetric in only two variables

Defining formula

{\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}

C19.S16.E5.m2acdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1agdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3agdec

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Defining formula

{\displaystyle{\displaystyle U}}

C19.S29.XMD16.m1bdec

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Defining formula

{\displaystyle{\displaystyle Q(t^{2})}}

C19.S29.XMD24.m1bdec

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