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Mathematics
Mathematics
Problem
On the interval
[
2
,
7
]
[2,7]
[
2
,
7
]
a continuous function
f
f
f
satisfies
f
(
x
)
≥
0
f(x)\ge 0
f
(
x
)
≥
0
and
∫
2
7
f
(
x
)
d
x
=
8
\displaystyle\int_{2}^{7} f(x)\,dx = 8
∫
2
7
f
(
x
)
d
x
=
8
. What is the value of
∫
2
7
(
3
f
(
x
)
+
4
)
d
x
\displaystyle\int_{2}^{7} \bigl(3f(x)+4\bigr)\,dx
∫
2
7
(
3
f
(
x
)
+
4
)
d
x
? a) 60 b) 44 c) 28 d) 56
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