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Mathematics
Mathematics
Problem
Let
A
=
∫
0
∞
log
x
1
+
x
3
d
x
A = \int_{0}^{\infty} \frac{\log x}{1+x^3} \, dx
A
=
∫
0
∞
1
+
x
3
l
o
g
x
d
x
. Then find the value of
∫
0
∞
x
log
x
1
+
x
3
d
x
\int_{0}^{\infty} \frac{x \log x}{1+x^3} \, dx
∫
0
∞
1
+
x
3
x
l
o
g
x
d
x
in terms of
A
A
A
.
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