Expand f(x)=x^3 in Fourier Sine Series: Step by Step Guide

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The discussion focuses on expanding the function f(x)=x^3 in a Fourier sine series over the interval [0, 1]. Participants clarify the correct form of the Fourier coefficients, b_n, which involves integrating x^3 multiplied by sine functions. There is confusion regarding the integration process, with suggestions to integrate by parts multiple times to obtain the correct terms. Additionally, the importance of using proper LaTeX formatting for mathematical expressions is emphasized. The conversation highlights the need for understanding the mechanics of Fourier series, particularly in relation to odd functions and the periodic nature of sine functions.
  • #31
Perfekt. Thank you :)
 

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