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Mathematics
Problem
Find
∫
x
1
+
x
2
d
x
\displaystyle\int \frac{x}{1+x^{2}}\,dx
∫
1
+
x
2
x
d
x
. a)
arctan
x
+
C
\arctan x + C
arctan
x
+
C
b)
−
1
1
+
x
2
+
C
-\dfrac{1}{1+x^{2}}+C
−
1
+
x
2
1
+
C
c)
1
2
ln
(
1
+
x
2
)
+
C
\dfrac12\,\ln(1+x^{2})+C
2
1
ln
(
1
+
x
2
)
+
C
d)
ln
(
1
+
x
2
)
+
C
\ln(1+x^{2})+C
ln
(
1
+
x
2
)
+
C
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