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Mathematics
Problem
For which real values of
p
p
p
does the integral
∫
1
∞
1
x
p
+
3
d
x
\displaystyle \int_{1}^{\infty} \frac{1}{x^{p}+3}\,dx
∫
1
∞
x
p
+
3
1
d
x
converge? a)
p
≥
1
p\ge 1
p
≥
1
b)
p
>
0
p>0
p
>
0
c)
p
>
1
p>1
p
>
1
d)
p
<
1
p<1
p
<
1
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