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Mathematics
Problem
Which of the following is the general antiderivative of
x
n
x^{n}
x
n
for
n
≠
−
1
n\neq -1
n
=
−
1
? a)
(
n
+
1
)
x
n
+
C
(n+1)x^{n}+C
(
n
+
1
)
x
n
+
C
b)
x
n
+
1
n
+
1
+
C
\dfrac{x^{n+1}}{n+1}+C
n
+
1
x
n
+
1
+
C
c)
ln
∣
x
∣
+
C
\ln|x|+C
ln
∣
x
∣
+
C
d)
x
n
+
1
n
+
C
\dfrac{x^{n+1}}{n}+C
n
x
n
+
1
+
C
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