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Today's Calculation Of Integral
2010 Today's Calculation Of Integral
660
Today's calculation of Integral 660
Today's calculation of Integral 660
Source:
December 15, 2010
calculus
integration
logarithms
calculus computations
Problem Statement
Let
a
,
b
a,\ b
a
,
b
be given positive constants.Evaluate
∫
0
1
ln
(
x
+
a
)
x
+
a
(
x
+
b
)
x
+
b
(
x
+
a
)
(
x
+
b
)
d
x
.
\int_0^1 \frac{\ln\ (x+a)^{x+a}(x+b)^{x+b}}{(x+a)(x+b)}dx.
∫
0
1
(
x
+
a
)
(
x
+
b
)
ln
(
x
+
a
)
x
+
a
(
x
+
b
)
x
+
b
d
x
.
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