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Suppose and . Explain, in one or two sentences, why any antiderivative of that passes…
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Suppose
G
′
(
x
)
=
g
(
x
)
G'(x)=g(x)
G
′
(
x
)
=
g
(
x
)
and
G
(
2
)
=
7
G(2)=7
G
(
2
)
=
7
. Explain, in one or two sentences, why any antiderivative of
g
(
x
)
g(x)
g
(
x
)
that passes through the point
(
2
,
7
)
(2,7)
(
2
,
7
)
must coincide with
G
(
x
)
G(x)
G
(
x
)
for every value of
x
x
x
.
Related theory
Antiderivatives
Standard algebraic integrals
Integration as inverse process of differentiation
Integrals
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