Power Series Integration: Fundamentals, Step-by-Step Methods, and Applications
Power series are infinite series of the form \( \sum_{n=0}^{\infty} c_n (x – a)^n \), where each term includes powers of \( x \) centered around \( a \) with coefficients \( c_n \). They approximate functions within a certain interval, called the radius of convergence. Integrating power series term-by-term is possible within this interval, […]