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Mathematics
Mathematics
Problem
For
x
>
0
x>0
x
>
0
, let
P
(
x
)
=
x
∫
1
ln
x
cos
t
d
t
.
P(x)=x\int_{1}^{\ln x} \cos t\,dt.
P
(
x
)
=
x
∫
1
l
n
x
cos
t
d
t
.
What is
P
′
(
e
)
P'(e)
P
′
(
e
)
? a)
−
cos
1
-\cos 1
−
cos
1
b)
0
0
0
c)
cos
1
\cos 1
cos
1
d)
e
cos
1
e\cos 1
e
cos
1
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