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Fourier Series of x²: Sine & Cosine by Dian Prasetiyo is a document available to read on EtoBox.

The document provides solutions for calculating the Fourier sine and cosine series for the function φ(x) = x² over the interval [0, 1]. The Fourier sine series is derived with coefficients Bn, resulting in a series that converges to the function, while the Fourier cosine series is calculated with coefficients A0 and An, showing faster convergence due to the even nature of the function and cosine. Graphs illustrate the convergence of both series to the original function.

Author
Dian Prasetiyo
Language
EN