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Mathematics
Mathematics
Problem
If
∣
a
∣
<
1
|a| < 1
∣
a
∣
<
1
, show that
∫
0
π
log
(
1
+
a
cos
x
)
cos
x
d
x
=
π
sin
−
1
a
.
\int_{0}^{\pi} \frac{\log(1+a \cos x)}{\cos x} dx = \pi \sin^{-1} a.
∫
0
π
cos
x
lo
g
(
1
+
a
cos
x
)
d
x
=
π
sin
−
1
a
.
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