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Mathematics
Problem
Evaluate
∫
(
a
2
+
b
2
)
/
2
(
3
a
2
+
b
2
)
/
4
x
(
x
2
−
a
2
)
(
b
2
−
x
2
)
d
x
\int \frac{\sqrt{(a^2+b^2)/2}}{\sqrt{(3a^2+b^2)/4}} \frac{x}{\sqrt{(x^2-a^2)(b^2-x^2)}} dx
∫
(
3
a
2
+
b
2
)
/4
(
a
2
+
b
2
)
/2
(
x
2
−
a
2
)
(
b
2
−
x
2
)
x
d
x
.
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