Integration by Substitution

Integration by substitution, a fundamental technique in calculus, offers a powerful method for evaluating complex integrals by replacing variables with simpler counterparts. By strategically selecting substitutions, this method transforms intricate expressions into more manageable forms, facilitating the integration process. Through this approach, intricate functions become amenable to standard integration techniques, allowing for the determination of indefinite integrals with greater ease and efficiency. Integration by substitution serves as a cornerstone in solving a wide array of mathematical problems, providing a systematic framework for handling diverse functions encountered in calculus and mathematical analysis.