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Which of the following is the general antiderivative of for ?
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
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
Related theory
Antiderivatives
Standard algebraic integrals
Integration as inverse process of differentiation
Integrals
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