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Mathematics
Mathematics
Problem
For
0
≤
t
≤
2
π
0\le t\le2\pi
0
≤
t
≤
2
π
, let
f
(
t
)
=
sin
t
−
0.5
f(t)=\sin t-0.5
f
(
t
)
=
sin
t
−
0.5
and define the accumulation function
F
(
x
)
=
∫
0
x
f
(
t
)
d
t
F(x)=\int_{0}^{x} f(t)\,dt
F
(
x
)
=
∫
0
x
f
(
t
)
d
t
. Determine the value(s) of
x
x
x
in
[
0
,
2
π
]
[0,2\pi]
[
0
,
2
π
]
where
F
F
F
attains its absolute maximum.
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