# Rambling Thoughts

## A problem from the SMT

The 13th annual Stanford Mathematics Tournament was held on February 19, 2011. My favorite problem on the contest was the last problem on the calculus subject test.

Theorem 1 Compute the integral

$\displaystyle \int_0^\pi \ln (1 - 2a \cos x + a^2) \, dx$

for ${a > 1}$.