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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
a
x
+
b
f(x)=ax+b
f
(
x
)
=
a
x
+
b
, where
a
a
a
and
b
b
b
are constants. If
∫
0
1
f
(
x
)
d
x
=
4
and
∫
0
2
f
(
x
)
d
x
=
10
,
\int_{0}^{1} f(x)\,dx = 4 \quad \text{and} \quad \int_{0}^{2} f(x)\,dx = 10,
∫
0
1
f
(
x
)
d
x
=
4
and
∫
0
2
f
(
x
)
d
x
=
10
,
what is the value of
a
a
a
? a)
2
2
2
b)
1
1
1
c)
4
4
4
d)
3
3
3
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