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Mathematics
Mathematics
Problem
Suppose
∫
0
2
f
(
x
)
d
x
=
4
\displaystyle \int_{0}^{2} f(x)\,dx = 4
∫
0
2
f
(
x
)
d
x
=
4
,
∫
2
5
f
(
x
)
d
x
=
−
1
\displaystyle \int_{2}^{5} f(x)\,dx = -1
∫
2
5
f
(
x
)
d
x
=
−
1
,
∫
0
2
g
(
x
)
d
x
=
7
\displaystyle \int_{0}^{2} g(x)\,dx = 7
∫
0
2
g
(
x
)
d
x
=
7
, and
∫
2
5
g
(
x
)
d
x
=
3
\displaystyle \int_{2}^{5} g(x)\,dx = 3
∫
2
5
g
(
x
)
d
x
=
3
. Evaluate
∫
0
5
(
3
f
(
x
)
−
2
g
(
x
)
)
d
x
\displaystyle \int_{0}^{5} \bigl(3f(x)-2g(x)\bigr)\,dx
∫
0
5
(
3
f
(
x
)
−
2
g
(
x
)
)
d
x
.
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