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JEE Advanced 2014 Paper 1 Mathematics Q3
Mathematics
Problem
Let
f
:
(
0
,
∞
)
→
R
f:(0,\infty)\to\mathbb R
f
:
(
0
,
∞
)
→
R
be given by
f
(
x
)
=
∫
1
/
x
x
e
−
(
t
+
1
/
t
)
d
t
t
f(x)=\displaystyle\int_{1/x}^{x}e^{-(t+1/t)}\,\frac{dt}{t}
f
(
x
)
=
∫
1/
x
x
e
−
(
t
+
1/
t
)
t
d
t
. Then
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