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In this video, we solve the integral ∫ -15(x + 3)² / (x - 2)⁴ dx using the u-substitution method. Watch as we break down the process step by step to simplify this rational function and apply the substitution correctly. 📌 You’ll learn: How to identify the right substitution Techniques for simplifying rational integrals Tips for dealing with polynomial expressions in the numerator and denominator This is a great example for students in Calculus 2 or AP Calculus who are mastering substitution techniques. 📚 Subscribe to *Smooth Integral* for more clear, short integration tutorials! Your go-to hub for Calculus Made Easy — from calculus basics to advanced topics. Whether you're looking for clear explanations, step-by-step Integral ForYou lessons, or deep dives with Integrals Education and INTEGRALS TV, we’ve got you covered. Even if you're tackling Química Integrals, this channel simplifies everything to boost your understanding and grades! integration by substitution u substitution method substitution integration rational function integration polynomial fraction integration integration techniques calculus integration u substitution examples substitution method calculus advanced integration integration of fractions rational expressions integration calculus 2 integration integration by parts alternative polynomial over polynomial integration negative power integration complex fraction integration substitution rule integration calculus tutorial integration integration practice problems advanced calculus techniques polynomial division integration fraction integration methods calculus substitution problems integration step by step mathematical integration techniques calculus problem solving integration of rational functions substitution integration examples integration calculus tutorial #IntegrationBySubstitution #Calculus2 #RationalIntegral #USub #MathTutorial #HardIntegral #CalcBC #StepByStepMath #EvaluateIntegral إنّ المقطع الصوتي Local Elevator من Kevin MacLeod مرخَّص بموجب رخصة الإصدار 4.0 من المشاع الإبداعي مع نسب العمل إلى مؤلفه. https://creativecommons.org/licenses/...