Show that \(\int _ { 0 } ^ { \pi } \log ( 1 - 2 a \cos x + a ^ { 2 } ) d x = 0 { \mathrm { ~ f o r ~ } } | a | < 1\)
$\int_0^\pi\log(1-2a\cos x+a^2)\,dx=0$ for $\lvert a\rvert<1$
P-TRIV-RA61
- Area
- Real Analysis
- Status
- draft
P-TRIV-RA61
Show that \(\int _ { 0 } ^ { \pi } \log ( 1 - 2 a \cos x + a ^ { 2 } ) d x = 0 { \mathrm { ~ f o r ~ } } | a | < 1\)