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Mathematics
Mathematics
Problem
Evaluate
∫
0
1
ln
(
1
−
a
2
x
2
)
x
2
1
−
x
2
d
x
\int_{0}^{1} \frac{\ln(1-a^2x^2)}{x^2\sqrt{1-x^2}} dx
∫
0
1
x
2
1
−
x
2
l
n
(
1
−
a
2
x
2
)
d
x
(
a
2
<
1
a^2 < 1
a
2
<
1
).
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