Trapezoidal rule derivation, numerical and Error Analysis

Numerical Integration – Trapezoidal Rule | Derivation, Composite Rule & Error Analysis In this lecture, we study the Trapezoidal Rule for numerical integration, one of the fundamental Newton–Cotes quadrature formulas. 📌 Topics Covered: ✅ Derivation of the Trapezoidal Rule ✅ Geometrical interpretation of the rule ✅ Why it is called the Composite Trapezoidal Rule ✅ Formula for the Composite Trapezoidal Rule ✅ One complete numerical example ✅ Comparison of the numerical result with the exact value ✅ Calculation of Absolute Error ✅ Explanation of Error Bound with numericals The video is useful for B.Tech, B.Sc., M.Sc., Engineering Mathematics, Numerical Analysis and competitive examinations. 🎯 Learning Objective: By the end of this lecture, you will understand not only how to apply the Trapezoidal Rule, but also how to evaluate its accuracy by comparing the approximate value with the exact integral and estimating the maximum possible error. 📚 Subject: Numerical Analysis 📖 Topic: Numerical Integration – Trapezoidal Rule If you find this lecture useful, Like 👍, Share ↗️ and Subscribe 🔔 for more lectures on Numerical Analysis and Mathematics. #TrapezoidalRule #CompositeTrapezoidalRule #NumericalIntegration #NumericalAnalysis #NewtonCotes #ErrorAnalysis #EngineeringMathematics #BTechMathematics #BScMathematics #MScMathematics