DLMF:2.1.E12 (Q697)

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DLMF:2.1.E12
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    f ( x ) d x { a constant, ν < - 1 , ln x , ν = - 1 , x ν + 1 / ( ν + 1 ) , ν > - 1 . asymptotically-equals 𝑓 𝑥 𝑥 cases a constant, 𝜈 1 𝑥 𝜈 1 superscript 𝑥 𝜈 1 𝜈 1 𝜈 1 {\displaystyle{\displaystyle\int f(x)\mathrm{d}x\sim\begin{cases}\text{a % constant,}&\Re\nu<-1,\\ \ln x,&\phantom{\Re missing}\nu=-1,\\ x^{\nu+1}/(\nu+1),&\Re\nu>-1.\end{cases}}}
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