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Mathematics
Mathematics
Problem
Let
P
(
x
)
=
∫
1
cos
x
ln
(
1
+
t
2
)
d
t
P(x)=\displaystyle \int_{1}^{\cos x} \ln(1+t^{2})\,dt
P
(
x
)
=
∫
1
c
o
s
x
ln
(
1
+
t
2
)
d
t
. Determine
P
′
(
x
)
P'(x)
P
′
(
x
)
when
x
=
π
3
x=\dfrac{\pi}{3}
x
=
3
π
.
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