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Mathematics
Mathematics
Problem
For
x
>
0
x>0
x
>
0
, define
p
(
x
)
=
∫
1
x
2
(
2
t
+
1
)
d
t
p(x)=\displaystyle\int_{1}^{x^{2}} (2t+1)\,dt
p
(
x
)
=
∫
1
x
2
(
2
t
+
1
)
d
t
. Derive a simplified expression for
p
′
(
x
)
p'(x)
p
′
(
x
)
.
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