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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
(
x
−
2
)
(
x
+
1
)
f(x)=(x-2)(x+1)
f
(
x
)
=
(
x
−
2
)
(
x
+
1
)
and define
F
(
x
)
=
∫
0
x
f
(
t
)
d
t
F(x)=\displaystyle \int_{0}^{x} f(t)\,dt
F
(
x
)
=
∫
0
x
f
(
t
)
d
t
. At which of the following
x
x
x
–values does
F
F
F
attain a local maximum? a)
x
=
1
2
x=\dfrac12
x
=
2
1
b)
x
=
2
x=2
x
=
2
c)
x
=
−
1
x=-1
x
=
−
1
d)
x
=
0
x=0
x
=
0
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