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Mathematics
Mathematics
Problem
Consider
P
(
x
)
=
∫
x
2
2
x
(
3
t
−
4
)
d
t
P(x)=\displaystyle \int_{x^{2}}^{2x} (3t-4)\,dt
P
(
x
)
=
∫
x
2
2
x
(
3
t
−
4
)
d
t
defined for
x
>
0
x>0
x
>
0
. Derive an explicit formula for
P
′
(
x
)
P'(x)
P
′
(
x
)
.
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