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2012 CIIM
Problem 4
CIIM 2012 Problem 4
CIIM 2012 Problem 4
Source:
August 8, 2016
CIIM 2012
CIIM
undergraduate
Problem Statement
Let
f
(
x
)
=
sin
(
x
)
x
f(x) = \frac{\sin(x)}{x}
f
(
x
)
=
x
s
i
n
(
x
)
Find
lim
T
→
∞
1
T
∫
0
T
1
+
f
′
(
x
)
2
d
x
.
\lim_{T\to\infty}\frac{1}{T}\int_0^T\sqrt{1+f'(x)^2}dx.
T
→
∞
lim
T
1
∫
0
T
1
+
f
′
(
x
)
2
d
x
.
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