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Mathematics
Problem
For which values of
q
q
q
does the integral
∫
2
∞
ln
x
x
q
d
x
\displaystyle \int_{2}^{\infty} \frac{\ln x}{x^{q}}\,dx
∫
2
∞
x
q
ln
x
d
x
converge? a)
q
>
1
q>1
q
>
1
b)
q
≥
1
q\ge 1
q
≥
1
c)
q
>
0
q>0
q
>
0
d)
q
>
2
q>2
q
>
2
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