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Mathematics
Problem
Let
f
(
x
)
=
∫
−
2
x
∣
t
+
1
∣
d
t
f(x) = \int_{-2}^{x} |t+1| dt
f
(
x
)
=
∫
−
2
x
∣
t
+
1∣
d
t
, then a.
f
(
x
)
f(x)
f
(
x
)
is continuous in
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
b.
f
(
x
)
f(x)
f
(
x
)
is differentiable in
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
c.
f
′
(
x
)
f'(x)
f
′
(
x
)
is continuous in
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
d.
f
′
(
x
)
f'(x)
f
′
(
x
)
is differentiable in
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
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