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Mathematics
Mathematics
Problem
Evaluate
∫
0
π
/
2
ln
(
1
+
a
sin
x
1
−
a
sin
x
)
d
x
sin
x
\int_{0}^{\pi/2} \ln \left( \frac{1+a \sin x}{1-a \sin x} \right) \frac{dx}{\sin x}
∫
0
π
/2
ln
(
1
−
a
s
i
n
x
1
+
a
s
i
n
x
)
s
i
n
x
d
x
(
∣
a
∣
<
1
|a| < 1
∣
a
∣
<
1
).
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