Integration by Trigonometric Substitution | Full Worked Example

Learn how to solve the integral ∫ dx/(x√(x²−16)) using trigonometric substitution in this full, step-by-step worked example. In this lesson, you'll learn: ✅ How to recognize when trigonometric substitution is needed ✅ Which substitution to choose ✅ How to simplify radicals using trigonometric identities ✅ How to evaluate the integral correctly ✅ How to express the final answer in inverse trigonometric form Final Answer: ∫ dx/(x√(x²−16)) = (1/4) sec⁻¹(x/4) + C This tutorial is perfect for students studying Calculus, Engineering Mathematics, AP Calculus, A-Level Mathematics, Further Mathematics, and University Mathematics. If you found this video helpful, please LIKE 👍, SUBSCRIBE 🔔, and SHARE it with others learning calculus. New math tutorials are uploaded regularly! #Calculus #Integration #TrigSubstitution #Mathematics #MathTutorial #EngineeringMath #LearnMath #STEM #IntegrationTechniques #CalculusMadeEasy