Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Determine the set of all real numbers
p
p
p
for which the integral
∫
0
∞
x
p
1
+
x
2
d
x
\displaystyle \int_{0}^{\infty} \frac{x^{p}}{1+x^{2}}\,dx
∫
0
∞
1
+
x
2
x
p
d
x
converges. a)
p
<
−
1
p<-1
p
<
−
1
b)
−
1
<
p
<
1
-1<p<1
−
1
<
p
<
1
c)
p
>
−
1
p>-1
p
>
−
1
d)
p
<
1
p<1
p
<
1
Browse the problem library