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If is an antiderivative of on an interval
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
If
G
(
x
)
G(x)
G
(
x
)
is an antiderivative of
g
(
x
)
g(x)
g
(
x
)
on an interval, which of the following must also be an antiderivative of
g
(
x
)
g(x)
g
(
x
)
on the same interval? (a)
2
G
(
x
)
2G(x)
2
G
(
x
)
(b)
G
(
x
)
+
5
G(x)+5
G
(
x
)
+
5
(c)
5
G
′
(
x
)
5G'(x)
5
G
′
(
x
)
(d)
G
(
x
)
+
5
x
G(x)+5x
G
(
x
)
+
5
x
Related theory
Antiderivatives
Fundamental theorem of calculus
Integration as inverse process of differentiation
Integrals
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