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Mathematics
Mathematics
Problem
Let
f
f
f
be an integrable function such that
∫
0
4
f
(
x
)
d
x
=
5
\displaystyle \int_{0}^{4} f(x)\,dx = 5
∫
0
4
f
(
x
)
d
x
=
5
and
∫
0
7
f
(
x
)
d
x
=
14
\displaystyle \int_{0}^{7} f(x)\,dx = 14
∫
0
7
f
(
x
)
d
x
=
14
. Calculate
∫
4
7
f
(
x
)
d
x
\displaystyle \int_{4}^{7} f(x)\,dx
∫
4
7
f
(
x
)
d
x
. a)
19
19
19
b)
6
6
6
c)
9
9
9
d)
−
9
-9
−
9
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