Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Which of the following equals
∫
d
x
x
2
+
a
2
?
\displaystyle \int \frac{dx}{x^{2}+a^{2}}\;?
∫
x
2
+
a
2
d
x
?
a)
ln
∣
x
2
+
a
2
∣
+
C
\ln|x^{2}+a^{2}|+C
ln
∣
x
2
+
a
2
∣
+
C
b)
1
a
arctan
(
a
x
)
+
C
\dfrac{1}{a}\arctan\left(\dfrac{a}{x}\right)+C
a
1
arctan
(
x
a
)
+
C
c)
1
a
arctan
(
x
a
)
+
C
\dfrac{1}{a}\arctan\left(\dfrac{x}{a}\right)+C
a
1
arctan
(
a
x
)
+
C
d)
1
2
arctan
(
x
a
)
+
C
\dfrac12\,\arctan\left(\dfrac{x}{a}\right)+C
2
1
arctan
(
a
x
)
+
C
Browse the problem library