Explore an advanced mathematical problem in this 30-minute video lecture focusing on the integral of (ln(cos x))^3 over the interval 0 to pi/2. Delve into the final chapter of a comprehensive series, where complex integration techniques are applied to solve this challenging equation. Gain insights into advanced calculus concepts and problem-solving strategies as the instructor guides you through the step-by-step solution. Enhance your understanding of logarithmic and trigonometric functions within integral calculus, and discover how to approach similar problems in mathematical analysis.