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In one or two sentences
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
In one or two sentences, explain why showing that
d
d
x
[
F
(
x
)
]
=
f
(
x
)
\dfrac{d}{dx}\bigl[F(x)\bigr]=f(x)
d
x
d
[
F
(
x
)
]
=
f
(
x
)
is sufficient to confirm that
F
(
x
)
+
C
F(x)+C
F
(
x
)
+
C
represents the family of antiderivatives of
f
(
x
)
f(x)
f
(
x
)
.
Related theory
Antiderivatives
Standard algebraic integrals
Integration as inverse process of differentiation
Integrals
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