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Mathematics
Mathematics
Problem
Prove that:
∫
0
π
2
log
∣
tan
x
+
cot
x
∣
d
x
=
π
log
e
2
\int_{0}^{\frac{\pi}{2}} \log |\tan x + \cot x| \, dx = \pi \log_e 2
∫
0
2
π
lo
g
∣
tan
x
+
cot
x
∣
d
x
=
π
lo
g
e
2
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