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Mathematics
Problem
Let
f
f
f
be an increasing and bijective continuous function such that
f
(
2
)
=
3
f(2) = 3
f
(
2
)
=
3
and
f
(
5
)
=
7
f(5) = 7
f
(
5
)
=
7
. Given
∫
2
5
f
(
x
)
d
x
=
17
\int_{2}^{5} f(x)\,dx = 17
∫
2
5
f
(
x
)
d
x
=
17
, then the value of the definite integral
∫
3
7
f
−
1
(
x
)
d
x
\int_{3}^{7} f^{-1}(x)\,dx
∫
3
7
f
−
1
(
x
)
d
x
equals:
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