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Today's Calculation Of Integral
2013 Today's Calculation Of Integral
898
Today's calculation of Integral 898
Today's calculation of Integral 898
Source: created by kunny
November 25, 2013
calculus
integration
logarithms
calculus computations
Problem Statement
Let
a
,
b
a,\ b
a
,
b
be positive constants.Evaluate
∫
0
1
ln
(
x
+
a
)
x
+
a
(
x
+
b
)
x
+
b
(
x
+
a
)
(
x
+
b
)
ln
(
x
+
a
)
ln
(
x
+
b
)
d
x
.
\int_0^1 \frac{\ln \frac{(x+a)^{x+a}}{(x+b)^{x+b}}}{(x+a)(x+b)\ln (x+a)\ln (x+b)}\ dx.
∫
0
1
(
x
+
a
)
(
x
+
b
)
ln
(
x
+
a
)
ln
(
x
+
b
)
ln
(
x
+
b
)
x
+
b
(
x
+
a
)
x
+
a
d
x
.
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