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Mathematics
Problem
Find the antiderivative of
2
x
+
1
x
2
+
2
x
+
1
\displaystyle \frac{2x+1}{x^{2}+2x+1}
x
2
+
2
x
+
1
2
x
+
1
with respect to
x
x
x
. a)
ln
∣
x
+
1
∣
+
1
x
+
1
+
C
\ln|x+1|+\dfrac{1}{x+1}+C
ln
∣
x
+
1∣
+
x
+
1
1
+
C
b)
2
ln
∣
x
+
1
∣
−
1
x
+
1
+
C
2\ln|x+1|-\dfrac{1}{x+1}+C
2
ln
∣
x
+
1∣
−
x
+
1
1
+
C
c)
2
ln
∣
x
+
1
∣
+
1
x
+
1
+
C
2\ln|x+1|+\dfrac{1}{x+1}+C
2
ln
∣
x
+
1∣
+
x
+
1
1
+
C
d)
2
ln
∣
x
+
1
∣
+
C
2\ln|x+1|+C
2
ln
∣
x
+
1∣
+
C
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