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Mathematics
Problem
The formula
∫
x
n
d
x
=
x
n
+
1
n
+
1
+
C
\displaystyle \int x^{n}\,dx=\frac{x^{n+1}}{n+1}+C
∫
x
n
d
x
=
n
+
1
x
n
+
1
+
C
involves the parameter
n
n
n
. Explain in one sentence why this formula fails when
n
=
−
1
n=-1
n
=
−
1
, and write the correct antiderivative for that case.
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