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Mathematics
Mathematics
Problem
For a non-negative continuous function
f
f
f
on
[
1
,
5
]
[1,5]
[
1
,
5
]
, suppose
∫
1
5
f
(
x
)
d
x
=
8
\displaystyle \int_{1}^{5} f(x)\,dx = 8
∫
1
5
f
(
x
)
d
x
=
8
and
∫
3
5
f
(
x
)
d
x
=
2
J
\displaystyle \int_{3}^{5} f(x)\,dx = 2J
∫
3
5
f
(
x
)
d
x
=
2
J
, where
J
=
∫
1
3
f
(
x
)
d
x
J = \displaystyle \int_{1}^{3} f(x)\,dx
J
=
∫
1
3
f
(
x
)
d
x
. Determine
J
J
J
. a)
4
4
4
b)
2
2
2
c)
8
3
\dfrac{8}{3}
3
8
d)
6
6
6
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