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Let be an antiderivative of with
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Let
F
(
x
)
F(x)
F
(
x
)
be an antiderivative of
f
(
x
)
=
3
x
2
f(x)=3x^{2}
f
(
x
)
=
3
x
2
with
F
(
−
1
)
=
0
F(-1)=0
F
(
−
1
)
=
0
. Determine the value of
F
(
2
)
F(2)
F
(
2
)
. (a)
8
8
8
(b)
9
9
9
(c)
7
7
7
(d)
10
10
10
Related theory
Initial Value Problems
Antiderivatives
Standard algebraic integrals
Integration as inverse process of differentiation
Integrals
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