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Mathematics
Problem
Determine the value of
∫
4
x
1
+
x
2
d
x
\displaystyle \int \frac{4x}{1+x^{2}}\,dx
∫
1
+
x
2
4
x
d
x
. a)
2
arctan
(
x
)
+
C
2\arctan(x)+C
2
arctan
(
x
)
+
C
b)
2
ln
∣
1
+
x
2
∣
+
C
2\ln|1+x^{2}|+C
2
ln
∣1
+
x
2
∣
+
C
c)
ln
∣
1
+
x
2
∣
+
C
\ln|1+x^{2}|+C
ln
∣1
+
x
2
∣
+
C
d)
4
ln
∣
x
∣
+
C
4\ln|x|+C
4
ln
∣
x
∣
+
C
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