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Mathematics
Mathematics
Problem
Area bounded by the line
y
=
x
y = x
y
=
x
, curve
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
, (
f
(
x
)
>
x
,
∀
x
>
1
f(x) > x, \forall x > 1
f
(
x
)
>
x
,
∀
x
>
1
) and the lines
x
=
1
,
x
=
t
x = 1, x = t
x
=
1
,
x
=
t
is
(
t
+
1
+
t
2
)
−
(
1
+
2
)
(t + \sqrt{1+t^2}) - (1 + \sqrt{2})
(
t
+
1
+
t
2
)
−
(
1
+
2
)
for all
t
>
1
t > 1
t
>
1
. Find
f
(
x
)
f(x)
f
(
x
)
.
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