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Mathematics
Mathematics
Problem
Given
∫
0
5
p
(
x
)
d
x
=
12
\displaystyle \int_{0}^{5} p(x)\,dx = 12
∫
0
5
p
(
x
)
d
x
=
12
and
∫
5
8
p
(
x
)
d
x
=
−
3
\displaystyle \int_{5}^{8} p(x)\,dx = -3
∫
5
8
p
(
x
)
d
x
=
−
3
, evaluate
3
∫
0
5
p
(
x
)
d
x
−
2
∫
8
5
p
(
x
)
d
x
\displaystyle 3\int_{0}^{5} p(x)\,dx - 2\int_{8}^{5} p(x)\,dx
3
∫
0
5
p
(
x
)
d
x
−
2
∫
8
5
p
(
x
)
d
x
. a)
42
42
42
b)
18
18
18
c)
30
30
30
d)
36
36
36
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