Master Reduction Formulas in Engineering Math (KA Stroud) 📘

In this episode (Episode 90), I introduced a powerful technique called the reduction formula, which helps simplify the integration of certain complex functions. Often, integrating some functions can be technically challenging, especially when using repeated applications of integration by parts. However, with a reduction formula, we can streamline the process and avoid lengthy iterations.

Following the author’s exposition in Program 18, Frames 1–12 (page 821), I derived reduction formulas for integrands such as x^ne^x, x^n
sinx, and x^n cosx. I also demonstrated how to apply these formulas effectively in solving integrals.


Previous sessions:
https://www.youtube.com/watch?v=HEU7m_RppLc&list=PLn0ZvdWhZVXfRYVqT-U32oOyBmwMAh7Re


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