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Mathematics
Problem
Prove that
∫
0
1
(
1
+
x
)
(
1
+
x
3
)
d
x
\int_{0}^{1} \sqrt{(1+x)(1+x^3)} dx
∫
0
1
(
1
+
x
)
(
1
+
x
3
)
d
x
cannot exceed
15
/
8
\sqrt{15/8}
15/8
.
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