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Mathematics
Problem
The function
h
h
h
is continuous and satisfies
h
(
x
)
>
0
h(x)>0
h
(
x
)
>
0
for all
x
x
x
in the interval
[
1
,
4
]
[1,4]
[
1
,
4
]
. Which of the following statements must be true? a)
∫
4
1
h
(
x
)
d
x
is positive.
\displaystyle \int_{4}^{1} h(x)\,dx \text{ is positive.}
∫
4
1
h
(
x
)
d
x
is positive.
b)
∫
1
4
h
(
x
)
d
x
=
0
\displaystyle \int_{1}^{4} h(x)\,dx = 0
∫
1
4
h
(
x
)
d
x
=
0
c)
∫
1
4
h
(
x
)
d
x
=
−
∫
4
1
h
(
x
)
d
x
\displaystyle \int_{1}^{4} h(x)\,dx = -\int_{4}^{1} h(x)\,dx
∫
1
4
h
(
x
)
d
x
=
−
∫
4
1
h
(
x
)
d
x
d)
∫
4
1
h
(
x
)
d
x
=
∫
1
4
h
(
x
)
d
x
\displaystyle \int_{4}^{1} h(x)\,dx = \int_{1}^{4} h(x)\,dx
∫
4
1
h
(
x
)
d
x
=
∫
1
4
h
(
x
)
d
x
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