Formula:666

Digital Library of Mathematical Functions ID 2.1.E11

${\displaystyle{\displaystyle\int_{x}^{\infty}f(t)\mathrm{d}t\sim-\frac{x^{\nu+1}}{\nu+1},}}$

Constraint(s)

${\displaystyle{\displaystyle\Re\nu<-1}}$

Symbols List

• ${\displaystyle{\displaystyle\sim}}$: asymptotic equality
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle f(x)}}$: continuous function
• ${\displaystyle{\displaystyle\nu}}$: complex constant
 

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