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Mathematics
Problem
Let
f
(
x
)
=
a
x
2
f(x)=ax^{2}
f
(
x
)
=
a
x
2
and
F
(
x
)
=
∫
f
(
x
)
d
x
F(x)=\displaystyle\int f(x)\,dx
F
(
x
)
=
∫
f
(
x
)
d
x
. If
F
(
1
)
=
4
F(1)=4
F
(
1
)
=
4
and
F
(
2
)
=
25
F(2)=25
F
(
2
)
=
25
, find the value of
a
a
a
. a)
8
8
8
b)
9
9
9
c)
6
6
6
d)
12
12
12
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