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Today's Calculation Of Integral
2005 Today's Calculation Of Integral
23
23
Part of
2005 Today's Calculation Of Integral
Problems
(1)
Today's calculation of Integral 23
Source: 2004 Fukushima Medical University
5/24/2005
Evaluate
lim
a
→
π
2
−
0
∫
0
a
(
cos
x
)
ln
(
cos
x
)
d
x
(
0
≦
a
<
π
2
)
\lim_{a\rightarrow \frac{\pi}{2}-0}\ \int_0^a\ (\cos x)\ln (\cos x)\ dx\ \left(0\leqq a <\frac{\pi}{2}\right)
a
→
2
π
−
0
lim
∫
0
a
(
cos
x
)
ln
(
cos
x
)
d
x
(
0
≦
a
<
2
π
)
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