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Mathematics
Mathematics
Problem
For a continuous function
h
h
h
, a constant
c
c
c
satisfies
∫
2
5
(
h
(
x
)
+
c
)
d
x
=
∫
2
5
h
(
x
)
d
x
\int_{2}^{5}\bigl(h(x)+c\bigr)\,dx = \int_{2}^{5}h(x)\,dx
∫
2
5
(
h
(
x
)
+
c
)
d
x
=
∫
2
5
h
(
x
)
d
x
for every continuous function
h
h
h
. Which of the following statements about
c
c
c
is true? a)
c
c
c
can be any real number b)
c
c
c
must equal
h
(
3
)
h(3)
h
(
3
)
c)
c
=
0
c=0
c
=
0
d)
c
=
−
1
3
∫
2
5
h
(
x
)
d
x
c=-\dfrac{1}{3}\displaystyle\int_{2}^{5} h(x)\,dx
c
=
−
3
1
∫
2
5
h
(
x
)
d
x
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