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Today's Calculation Of Integral
2012 Today's Calculation Of Integral
785
785
Part of
2012 Today's Calculation Of Integral
Problems
(1)
Today's calculation of Integral 785
Source: 2012 Gakusyuin University entrance exam/Science
2/10/2012
For a positive real number
x
x
x
, find the minimum value of
f
(
x
)
=
∫
x
2
x
(
t
ln
t
−
t
)
d
t
.
f(x)=\int_x^{2x} (t\ln t-t)dt.
f
(
x
)
=
∫
x
2
x
(
t
ln
t
−
t
)
d
t
.
calculus
integration
logarithms
derivative
calculus computations