Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Which of the following definite integrals is improper primarily because one of its limits of integration is infinite? a)
∫
−
2
2
1
x
2
d
x
\displaystyle \int_{-2}^{2} \frac{1}{x^{2}}\,dx
∫
−
2
2
x
2
1
d
x
b)
∫
0
1
ln
x
x
d
x
\displaystyle \int_{0}^{1} \frac{\ln x}{\sqrt{x}}\,dx
∫
0
1
x
ln
x
d
x
c)
∫
0
∞
(
3
x
+
1
)
d
x
\displaystyle \int_{0}^{\infty} (3x+1)\,dx
∫
0
∞
(
3
x
+
1
)
d
x
d)
∫
0
1
1
1
−
x
d
x
\displaystyle \int_{0}^{1} \frac{1}{\sqrt{1-x}}\,dx
∫
0
1
1
−
x
1
d
x
Browse the problem library