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Mathematics
Mathematics
Problem
A function
h
h
h
is continuous on
[
0
,
7
]
[0,7]
[
0
,
7
]
and satisfies
∫
0
3
h
(
t
)
d
t
=
5
and
∫
3
7
∣
h
(
t
)
∣
d
t
=
6
,
\displaystyle \int_{0}^{3} h(t)\,dt = 5 \quad\text{and}\quad \int_{3}^{7} |h(t)|\,dt = 6,
∫
0
3
h
(
t
)
d
t
=
5
and
∫
3
7
∣
h
(
t
)
∣
d
t
=
6
,
where
h
(
t
)
<
0
h(t)<0
h
(
t
)
<
0
for
3
≤
t
≤
7
3\le t\le 7
3
≤
t
≤
7
. What is the value of
∫
0
7
h
(
t
)
d
t
\displaystyle \int_{0}^{7} h(t)\,dt
∫
0
7
h
(
t
)
d
t
? a)
11
11
11
b)
−
11
-11
−
11
c)
−
1
-1
−
1
d)
1
1
1
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