Learn to solve a challenging integral problem in this 14-minute mathematics tutorial that forms part of a special "Countdown to 2026" series featuring 10 integrals over 10 days. Work through a solid practice integral with clear, step-by-step explanations that demonstrate advanced integration techniques without following an increasing difficulty structure. Master the application of polynomial long division as a key method for tackling complex rational function integrals, with references provided for reviewing this essential prerequisite skill. Benefit from Professor V's teaching approach that emphasizes practical problem-solving strategies and thorough mathematical reasoning, making this suitable for Calculus 2 students or anyone looking to strengthen their integration skills through focused practice.