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Problem
Problem
Statement I
ϕ
(
x
)
=
∫
0
x
(
3
sin
t
+
4
cos
t
)
d
t
,
[
π
6
,
π
3
]
ϕ
(
x
)
\phi(x) = \int_{0}^{x} (3 \sin t + 4 \cos t) dt, \left[ \frac{\pi}{6}, \frac{\pi}{3} \right] \phi(x)
ϕ
(
x
)
=
∫
0
x
(
3
sin
t
+
4
cos
t
)
d
t
,
[
6
π
,
3
π
]
ϕ
(
x
)
– attains its maximum value at
x
=
π
3
x = \frac{\pi}{3}
x
=
3
π
.
Statement II
ϕ
(
x
)
=
∫
0
x
(
3
sin
t
+
4
cos
t
)
d
t
,
ϕ
(
x
)
\phi(x) = \int_{0}^{x} (3 \sin t + 4 \cos t) dt, \phi(x)
ϕ
(
x
)
=
∫
0
x
(
3
sin
t
+
4
cos
t
)
d
t
,
ϕ
(
x
)
is increasing function in
[
π
6
,
π
3
]
\left[ \frac{\pi}{6}, \frac{\pi}{3} \right]
[
6
π
,
3
π
]
.
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