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Today's Calculation Of Integral
2007 Today's Calculation Of Integral
205
Today's calculation of Integral 205
Today's calculation of Integral 205
Source: created by kunny
May 17, 2007
calculus
integration
logarithms
calculus computations
Problem Statement
Evaluate the following definite integral.
∫
e
2
e
3
ln
x
⋅
ln
(
x
ln
x
)
⋅
ln
{
x
ln
(
x
ln
x
)
}
+
ln
x
+
1
ln
x
⋅
ln
(
x
ln
x
)
d
x
\int_{e^{2}}^{e^{3}}\frac{\ln x\cdot \ln (x\ln x)\cdot \ln \{x\ln (x\ln x)\}+\ln x+1}{\ln x\cdot \ln (x\ln x)}\ dx
∫
e
2
e
3
ln
x
⋅
ln
(
x
ln
x
)
ln
x
⋅
ln
(
x
ln
x
)
⋅
ln
{
x
ln
(
x
ln
x
)}
+
ln
x
+
1
d
x
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